Diff of the two buildlogs: -- --- b1/build.log 2025-07-27 10:21:59.654845256 +0000 +++ b2/build.log 2025-07-27 10:23:05.234923652 +0000 @@ -1,6 +1,7 @@ +W: cgroups are not available on the host, not using them. I: pbuilder: network access will be disabled during build -I: Current time: Sat Jul 26 22:21:02 -12 2025 -I: pbuilder-time-stamp: 1753611662 +I: Current time: Sun Aug 30 06:45:01 +14 2026 +I: pbuilder-time-stamp: 1788021901 I: Building the build Environment I: extracting base tarball [/var/cache/pbuilder/trixie-reproducible-base.tgz] I: copying local configuration @@ -22,52 +23,83 @@ dpkg-source: info: unpacking coq-unicoq_1.6-8.20-1.debian.tar.xz I: Not using root during the build. I: Installing the build-deps -I: user script /srv/workspace/pbuilder/2169626/tmp/hooks/D02_print_environment starting +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/D01_modify_environment starting +debug: Running on codethink03-arm64. +I: Changing host+domainname to test build reproducibility +I: Adding a custom variable just for the fun of it... +I: Changing /bin/sh to bash +'/bin/sh' -> '/bin/bash' +lrwxrwxrwx 1 root root 9 Aug 29 16:45 /bin/sh -> /bin/bash +I: Setting pbuilder2's login shell to /bin/bash +I: Setting pbuilder2's GECOS to second user,second room,second work-phone,second home-phone,second other +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/D01_modify_environment finished +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/D02_print_environment starting I: set - BUILDDIR='/build/reproducible-path' - BUILDUSERGECOS='first user,first room,first work-phone,first home-phone,first other' - BUILDUSERNAME='pbuilder1' - BUILD_ARCH='arm64' - DEBIAN_FRONTEND='noninteractive' + BASH=/bin/sh + BASHOPTS=checkwinsize:cmdhist:complete_fullquote:extquote:force_fignore:globasciiranges:globskipdots:hostcomplete:interactive_comments:patsub_replacement:progcomp:promptvars:sourcepath + BASH_ALIASES=() + BASH_ARGC=() + BASH_ARGV=() + BASH_CMDS=() + BASH_LINENO=([0]="12" [1]="0") + BASH_LOADABLES_PATH=/usr/local/lib/bash:/usr/lib/bash:/opt/local/lib/bash:/usr/pkg/lib/bash:/opt/pkg/lib/bash:. + BASH_SOURCE=([0]="/tmp/hooks/D02_print_environment" [1]="/tmp/hooks/D02_print_environment") + BASH_VERSINFO=([0]="5" [1]="2" [2]="37" [3]="1" [4]="release" [5]="aarch64-unknown-linux-gnu") + BASH_VERSION='5.2.37(1)-release' + BUILDDIR=/build/reproducible-path + BUILDUSERGECOS='second user,second room,second work-phone,second home-phone,second other' + BUILDUSERNAME=pbuilder2 + BUILD_ARCH=arm64 + DEBIAN_FRONTEND=noninteractive DEB_BUILD_OPTIONS='buildinfo=+all reproducible=+all parallel=12 ' - DISTRIBUTION='trixie' - HOME='/root' - HOST_ARCH='arm64' + DIRSTACK=() + DISTRIBUTION=trixie + EUID=0 + FUNCNAME=([0]="Echo" [1]="main") + GROUPS=() + HOME=/root + HOSTNAME=i-capture-the-hostname + HOSTTYPE=aarch64 + HOST_ARCH=arm64 IFS=' ' - INVOCATION_ID='3537956bc94a474a890af5ae295ff33b' - LANG='C' - LANGUAGE='en_US:en' - LC_ALL='C' - MAIL='/var/mail/root' - OPTIND='1' - PATH='/usr/sbin:/usr/bin:/sbin:/bin:/usr/games' - PBCURRENTCOMMANDLINEOPERATION='build' - PBUILDER_OPERATION='build' - PBUILDER_PKGDATADIR='/usr/share/pbuilder' - PBUILDER_PKGLIBDIR='/usr/lib/pbuilder' - PBUILDER_SYSCONFDIR='/etc' - PPID='2169626' - PS1='# ' - PS2='> ' + LANG=C + LANGUAGE=nl_BE:nl + LC_ALL=C + MACHTYPE=aarch64-unknown-linux-gnu + MAIL=/var/mail/root + OPTERR=1 + OPTIND=1 + OSTYPE=linux-gnu + PATH=/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path + PBCURRENTCOMMANDLINEOPERATION=build + PBUILDER_OPERATION=build + PBUILDER_PKGDATADIR=/usr/share/pbuilder + PBUILDER_PKGLIBDIR=/usr/lib/pbuilder + PBUILDER_SYSCONFDIR=/etc + PIPESTATUS=([0]="0") + POSIXLY_CORRECT=y + PPID=3292144 PS4='+ ' - PWD='/' - SHELL='/bin/bash' - SHLVL='2' - SUDO_COMMAND='/usr/bin/timeout -k 18.1h 18h /usr/bin/ionice -c 3 /usr/bin/nice /usr/sbin/pbuilder --build --configfile /srv/reproducible-results/rbuild-debian/r-b-build.wm5YGfVe/pbuilderrc_XPjN --distribution trixie --hookdir /etc/pbuilder/first-build-hooks --debbuildopts -b --basetgz /var/cache/pbuilder/trixie-reproducible-base.tgz --buildresult /srv/reproducible-results/rbuild-debian/r-b-build.wm5YGfVe/b1 --logfile b1/build.log coq-unicoq_1.6-8.20-1.dsc' - SUDO_GID='109' - SUDO_UID='104' - SUDO_USER='jenkins' - TERM='unknown' - TZ='/usr/share/zoneinfo/Etc/GMT+12' - USER='root' - _='/usr/bin/systemd-run' - http_proxy='http://192.168.101.4:3128' + PWD=/ + SHELL=/bin/bash + SHELLOPTS=braceexpand:errexit:hashall:interactive-comments:posix + SHLVL=3 + SUDO_COMMAND='/usr/bin/timeout -k 24.1h 24h /usr/bin/ionice -c 3 /usr/bin/nice -n 11 /usr/bin/unshare --uts -- /usr/sbin/pbuilder --build --configfile /srv/reproducible-results/rbuild-debian/r-b-build.wm5YGfVe/pbuilderrc_71SO --distribution trixie --hookdir /etc/pbuilder/rebuild-hooks --debbuildopts -b --basetgz /var/cache/pbuilder/trixie-reproducible-base.tgz --buildresult /srv/reproducible-results/rbuild-debian/r-b-build.wm5YGfVe/b2 --logfile b2/build.log coq-unicoq_1.6-8.20-1.dsc' + SUDO_GID=109 + SUDO_UID=104 + SUDO_USER=jenkins + TERM=unknown + TZ=/usr/share/zoneinfo/Etc/GMT-14 + UID=0 + USER=root + _='I: set' + http_proxy=http://192.168.101.4:3128 I: uname -a - Linux codethink04-arm64 6.1.0-37-cloud-arm64 #1 SMP Debian 6.1.140-1 (2025-05-22) aarch64 GNU/Linux + Linux i-capture-the-hostname 6.1.0-37-cloud-arm64 #1 SMP Debian 6.1.140-1 (2025-05-22) aarch64 GNU/Linux I: ls -l /bin - lrwxrwxrwx 1 root root 7 May 12 19:25 /bin -> usr/bin -I: user script /srv/workspace/pbuilder/2169626/tmp/hooks/D02_print_environment finished + lrwxrwxrwx 1 root root 7 May 12 2025 /bin -> usr/bin +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/D02_print_environment finished -> Attempting to satisfy build-dependencies -> Creating pbuilder-satisfydepends-dummy package Package: pbuilder-satisfydepends-dummy @@ -180,7 +212,7 @@ Get: 65 http://deb.debian.org/debian trixie/main arm64 libgmp3-dev arm64 2:6.3.0+dfsg-3 [322 kB] Get: 66 http://deb.debian.org/debian trixie/main arm64 libzarith-ocaml-dev arm64 1.14-1+b2 [142 kB] Get: 67 http://deb.debian.org/debian trixie/main arm64 libcoq-core-ocaml-dev arm64 8.20.1+dfsg-1+b1 [68.6 MB] -Fetched 298 MB in 1s (209 MB/s) +Fetched 298 MB in 1s (263 MB/s) Preconfiguring packages ... Selecting previously unselected package libexpat1:arm64. (Reading database ... (Reading database ... 5% (Reading database ... 10% (Reading database ... 15% (Reading database ... 20% (Reading database ... 25% (Reading database ... 30% (Reading database ... 35% (Reading database ... 40% (Reading database ... 45% (Reading database ... 50% (Reading database ... 55% (Reading database ... 60% (Reading database ... 65% (Reading database ... 70% (Reading database ... 75% (Reading database ... 80% (Reading database ... 85% (Reading database ... 90% (Reading database ... 95% (Reading database ... 100% (Reading database ... 19964 files and directories currently installed.) @@ -411,8 +443,8 @@ Setting up tzdata (2025b-4) ... Current default time zone: 'Etc/UTC' -Local time is now: Sun Jul 27 10:21:42 UTC 2025. -Universal Time is now: Sun Jul 27 10:21:42 UTC 2025. +Local time is now: Sat Aug 29 16:45:42 UTC 2026. +Universal Time is now: Sat Aug 29 16:45:42 UTC 2026. Run 'dpkg-reconfigure tzdata' if you wish to change it. Setting up autotools-dev (20240727.1) ... @@ -475,7 +507,11 @@ Building tag database... -> Finished parsing the build-deps I: Building the package -I: Running cd /build/reproducible-path/coq-unicoq-1.6-8.20/ && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games" HOME="/nonexistent/first-build" dpkg-buildpackage -us -uc -b && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games" HOME="/nonexistent/first-build" dpkg-genchanges -S > ../coq-unicoq_1.6-8.20-1_source.changes +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/A99_set_merged_usr starting +Not re-configuring usrmerge for trixie +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/A99_set_merged_usr finished +hostname: Name or service not known +I: Running cd /build/reproducible-path/coq-unicoq-1.6-8.20/ && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-buildpackage -us -uc -b && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-genchanges -S > ../coq-unicoq_1.6-8.20-1_source.changes dpkg-buildpackage: info: source package coq-unicoq dpkg-buildpackage: info: source version 1.6-8.20-1 dpkg-buildpackage: info: source distribution unstable @@ -551,6 +587,7 @@ COQC test-suite/primitive.v COQC test-suite/instantiate.v COQC test-suite/timings.v +COQC test-suite/bug_41.v STATS: 0 0 ?A =<= nat (Meta-Inst) OK _Set =<= Type (Reduce-Same) OK @@ -567,10 +604,10 @@ ___(nat -> nat) =<= (nat -> nat) (Reduce-Same) OK __0 =?= 0 (Reduce-Same) OK ?A =<= nat (Meta-Inst) OK -_Set =<= Type (Reduce-Same) OK +_Set =<= Type (Reduce-Same)COQC test-suite/bug_44.v + OK +(nat -> nat) =<= nat (App-FO) ERR (nat -> nat) =<= nat (App-FO) ERR -(nat -> nat) =<= nat (App-FO)COQC test-suite/bug_41.v - ERR (?x = ?x) =<= (match 0 with | 0 => (?n : nat -> nat) 0 | S _ => 1 @@ -636,8 +673,7 @@ ?T@\{x:=x; x0:=x; x1:=x\} =<= ?A (Meta-Inst) ERR _?A =<= ?T@\{x:=x; x0:=x; x1:=x\} (Meta-Inst) OK ?T@\{x:=x; x0:=x; x1:=x\} =<= nat (Meta-Inst) OK -_Set =<= Type (Reduce-Same)COQC test-suite/bug_44.v - OK +_Set =<= Type (Reduce-Same) OK (?x = ?x) =<= (?n x x = S x) (App-FO) ERR _@eq =<= @eq (Rigid-Same) OK _?A =?= nat (Meta-Inst) OK @@ -1274,6 +1310,8 @@ ((forall B : Type, (B -> B -> Prop) -> Prop) -> Prop) B -> Prop) -> Prop) -> Prop) (nat -> nat) nat) (nat -> nat -> nat) nat -> nat) +tt + : unit (nat -> nat -> nat -> nat) nat -> nat -> nat) nat y) x y z = y) y) x y z = (fun _ y _ : nat => y) y y x /\ (fun _ y _ : nat => y) x y z = y) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -?T =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -?T@\{x:=x; x0:=x\} =<= ?A (Meta-Inst)(forall y z : nat, +(forall y z : nat, (fun _ y0 _ : nat => y0) x y z = (fun _ y0 _ : nat => y0) y y x /\ (fun _ y0 _ : nat => y0) x y z = y) y0) x y z = (fun _ y0 _ : nat => y0) y y x /\ (fun _ y0 _ : nat => y0) x y z = y) - -_?A =<= ?T@\{x:=x; x0:=x\} (Meta-Inst) -?T@\{x:=x; x0:=x\} =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -?A =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same)(forall x y z : nat, +(forall x y z : nat, (fun _ y0 _ : nat => y0) x y z = (fun _ y0 _ : nat => y0) y y x /\ (fun _ y0 _ : nat => y0) x y z = y) y in forall x y z : nat, T x y z = T y y x /\ T x y z = y) - -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -(0 = 0) =<= (?n x = 0) (App-FO) -_@eq =<= @eq (Rigid-Same) -_nat =?= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -_(?n x) =?= 0 (Meta-Inst) -__(nat -> nat) =<= (nat -> nat) (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same) -_0 =?= 0 (Reduce-Same)Decimal.uint 0) x = 0 - -inst1 uses section variable x. +Decimal.uint nat) nat) (nat -> nat -> nat) nat -> nat) -?T =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same)(nat -> nat -> nat -> nat) nat -> nat -> nat) - -?T@\{x:=x; x0:=x\} =<= ?A (Meta-Inst) -_?A =<= ?T@\{x:=x; x0:=x\} (Meta-Inst)nat nat -> nat -> nat) nat -> nat -> nat) +nat nat) =<= (nat -> nat) (Reduce-Same)nat n) x = x - -inst2 uses section variable x. (?x = ?x) ?n) x x x = (fun x y z : nat => ?n) y y y /\ +nat ?n) x x x = (fun x y z : nat => ?n) y y y /\ (fun x y z : nat => ?n) x y z = 0) - -_?A =<= ?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} (Meta-Inst) -?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same)nat ?n) x x x = (fun x y z : nat => ?n) y y y) - -_(?n x y z) =?= x (Meta-Inst) -_(?n x y z) =?= x (Meta-DelDeps) -__(?n x y z) =?= x (Meta-Inst)?A =?= nat +nat ?n) x x x = (fun x y z : nat => ?n) y y y) +?A =?= nat Set nat -> nat -> nat) =<= (nat -> nat -> nat -> nat) (Reduce-Same) -_x =?= x (Reduce-Same)?x =?= ((fun x y z : nat => ?n) x x x) +?x =?= ((fun x y z : nat => ?n) x x x) nat ?n) y y y) ?n@{z:=x} =?= ((fun _ _ z : nat => ?n) y y y) @@ -1627,107 +1586,59 @@ nat n) x y z = x - -inst3 uses section variables x y z. (nat -> nat) nat) (nat -> nat -> nat) nat -> nat) (nat -> nat -> nat -> nat) nat -> nat -> nat) -?T =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same)nat nat -> nat -> nat) =<= (nat -> nat -> nat -> nat) (Reduce-Same) -_z =?= z (Reduce-Same)(?x = ?x) n) x y z = z - -inst4 uses section variables x y z. - OK +_Prop =<= Prop (Reduce-Same) OK (?x = ?x /\ ?x0 = ?x0) ?n) x y z = (fun x y z : nat => ?n) y y x /\ (fun x y z : nat => ?n) x y z = x) (?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same)?A =?= nat - -nat =<= nat (Reduce-Same) -?A =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -nat =<= nat (Reduce-Same)Set ?n) x y z) - -_(@eq ?A ?x ?x) =<= (@eq nat (?n x) O) (App-FO)nat ?n) y y x) - -__(?n x) =?= ?x (Meta-Inst) -__?x =?= (?n x) (Meta-Inst) -___nat =<= nat (Reduce-Same)?n =?= ?n@{x:=y; y:=y; z:=x} - -__(?n x) =?= O (Meta-Inst) -___(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same)(?x = ?x) =?= ((fun _ y _ : nat => ?n) x y z = x) +?A =?= nat +Set ?n) x y z) +nat ?n) y y x) +?n =?= ?n@{x:=y; y:=y; z:=x} +(?x = ?x) =?= ((fun _ y _ : nat => ?n) x y z = x) ?A =?= nat Set ?n) x y z) nat ?n) x y z = (fun x y z : nat => ?n) y y x /\\ +(?x = ?x /\\ ?x0 = ?x0) =<= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x /\\ (fun x y z : nat => ?n) x y z = x) (App-FO) ERR -_and =<= and (Rigid-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) OK +_and =<= and (Rigid-Same) OK _(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) (App-FO) OK __@eq =?= @eq (Rigid-Same) OK __?A =?= nat (Meta-Inst) OK @@ -1743,43 +1654,21 @@ ___Set =<= Type (Reduce-Same) OK __?x =?= ((fun _ y _ : nat => ?n) x y z) (Meta-Inst) OK ___nat =<= nat (Reduce-Same) OK -__?n =?= x (Meta-Inst) -Number.uint =<= Number.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) ERR +__?n =?= x (Meta-Inst) ERR (?x = ?x /\ ?x0 = ?x0) ?n) x y z = (fun x y z : nat => ?n) y y x /\ (fun x y z : nat => ?n) x y z = x) - -?A =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -nat =<= nat (Reduce-Same) -nat =<= nat (Reduce-Same)(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) - -?A =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -(@eq nat (let X : forall _ : nat, nat := ?n in X x) - (let X : forall _ : nat, nat := ?n in X x)) =<= (@eq nat O O) (App-FO)?A =?= nat - -_@eq =<= @eq (Rigid-Same) -_nat =?= nat (Reduce-Same)Set ?n) x y z) - -__(?n x) =?= O (Meta-Inst) -___(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same)nat O in X x) =?= O (Reduce-Same)?n =?= ((fun x y z : nat => ?n) y y x) +(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) +?A =?= nat +Set ?n) x y z) +nat ?n) y y x) ?n =?= ?n@{x:=y; y:=y; z:=x} (?x = ?x) =?= ((fun _ y _ : nat => ?n) x y z = x) ?A =?= nat Set ?n) x y z) - -Number.uint =<= Number.uint (Reduce-Same)nat ?n) x y z) +nat ?n) x y z = (fun x y z : nat => ?n) y y x /\\ (fun x y z : nat => ?n) x y z = x) (App-FO) ERR @@ -1791,8 +1680,7 @@ __?x =?= ((fun x y z : nat => ?n) x y z) (Meta-Inst) OK ___nat =<= nat (Reduce-Same) OK __?n =?= ((fun x y z : nat => ?n) y y x) (Meta-Inst) ERR -__?n =?= ((fun x y z : nat => ?n) y y x) (Meta-Reduce) -?T =<= nat (Meta-Inst) OK +__?n =?= ((fun x y z : nat => ?n) y y x) (Meta-Reduce) OK ___?n =?= ?n (Meta-Same) OK _(?x = ?x) =?= ((fun _ y _ : nat => ?n) x y z = x) (App-FO) ERR __@eq =?= @eq (Rigid-Same) OK @@ -1800,50 +1688,15 @@ ___Set =<= Type (Reduce-Same) OK __?x =?= ((fun _ y _ : nat => ?n) x y z) (Meta-Inst) OK ___nat =<= nat (Reduce-Same) OK -__?n =?= x (Meta-Inst) -_Set =<= Type (Reduce-Same) -?T@\{x:=x; x0:=x\} =<= ?A (Meta-Inst) -_?A =<= ?T@\{x:=x; x0:=x\} (Meta-Inst) -?T@\{x:=x; x0:=x\} =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -(@eq ?A ?x ?x) =<= (@eq nat ((fun w : forall _ : nat, nat => w) ?w x) O) (App-FO) -_@eq =<= @eq (Rigid-Same) -_?A =?= nat (Meta-Inst) -__Set =<= Type (Reduce-Same) -_?x =?= ((fun w : forall _ : nat, nat => w) ?w x) (Meta-Inst) -__nat =<= nat (Reduce-Same) -_(?w x) =?= O (Meta-Inst) -__(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -?A =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -nat =<= nat (Reduce-Same) -?T =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) ERR +__?n =?= x (Meta-Inst) ERR (nat -> nat) nat) - -?T@\{x:=x; x0:=x\} =<= ?A (Meta-Inst) -_?A =<= ?T@\{x:=x; x0:=x\} (Meta-Inst)(nat -> nat -> nat) nat -> nat) - -(@eq ?T@\{x:=x; x0:=x\} ((fun w : forall x0 : nat, ?T => w) ?w x) - ((fun w : forall x0 : nat, ?T => w) ?w x)) =<= (@eq nat O O) (App-FO)(nat -> nat -> nat -> nat) nat -> nat -> nat) - -_@eq =<= @eq (Rigid-Same) -_?T@\{x:=x; x0:=x\} =?= nat (Meta-Inst) -__Set =<= Type (Reduce-Same)nat w) ?w x) =?= O (Lam-BetaL)nat w) (fun _ : nat => O) x) =?= O (Reduce-Same)Set nat -> nat) nat -> nat) +(nat -> nat -> nat -> nat) nat -> nat -> nat) +nat ?n) x y z = (fun x y z : nat => ?n) y y x /\ (fun x y z : nat => ?n) x y z = x) - -Type =<= Type (Reduce-Same) -?T =<= nat (Meta-DelDeps) -_?T =<= nat (Meta-Inst) -__Set =<= Type (Reduce-Same) -nat =<= nat (Reduce-Same)(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) - -nat =<= nat (Reduce-Same)?A =?= nat - -(@eq ?A ?x ?x) =<= (@eq nat match O return nat with - | O => ?n - | S _ => O - end x) (App-FO)Set ?n) x y z) - -__Set =<= Type (Reduce-Same) -_?x =?= match O return nat with -| O => ?n -| S _ => O -end (Meta-Inst)nat ?n) y y x) - -_match O return nat with -| O => ?n -| S _ => O -end =?= x (App-FO) -_match O return nat with -| O => ?n -| S _ => O -end =?= x (Case-IotaL) -__?n =?= x (Meta-Inst) -___nat =<= nat (Reduce-Same)?n =?= ?n@{x:=y; y:=y; z:=x} +(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) +?A =?= nat +Set ?n) x y z) +nat ?n) y y x) +?n =?= ?n@{x:=y; y:=y; z:=x} (?x = ?x) =?= ((fun _ y _ : nat => ?n) x y z = x) ?A =?= nat Set ?n) x y z) (Meta-Inst) OK ___nat =<= nat (Reduce-Same) OK -__?n =?= x (Meta-Inst) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) ERR +__?n =?= x (Meta-Inst) ERR (?x = ?x /\ ?x0 = ?x0) ?n) x y z = (fun x y z : nat => ?n) y y x /\ (fun x y z : nat => ?n) x y z = x) - -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same)(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) +(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) ?A =?= nat - -Type =<= Type (Reduce-Same)Set ?n) x y z) - -?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-DelDeps) -_?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-Inst)nat ?n) y y x) - -?T =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -?A =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -nat =<= nat (Reduce-Same)?n =?= ?n@{x:=y; y:=y; z:=x} +nat ?n) y y x) +?n =?= ?n@{x:=y; y:=y; z:=x} (?x = ?x) =?= ((fun _ y _ : nat => ?n) x y z = x) - -(@eq ?A ?x ?x) =<= (@eq nat - (match O return (forall _ : nat, nat) with - | O => ?n - | S _ => fun _ : nat => O - end x) x) (App-FO) -_@eq =<= @eq (Rigid-Same) -_?A =?= nat (Meta-Inst)?A =?= nat - -__Set =<= Type (Reduce-Same)Set ?n - | S _ => fun _ : nat => O - end x) (Meta-Inst) -__nat =<= nat (Reduce-Same)?x =?= ((fun _ y _ : nat => ?n) x y z) - -_(match O return (forall _ : nat, nat) with - | O => ?n - | S _ => fun _ : nat => O - end x) =?= x (Case-IotaL)nat ?n) x y z = (fun x y z : nat => ?n) y y x /\\ +?A =?= nat +Set ?n) x y z) +nat ?n) x y z = (fun x y z : nat => ?n) y y x /\\ (fun x y z : nat => ?n) x y z = x) (App-FO) ERR _and =<= and (Rigid-Same) OK _(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) y y x) (App-FO) OK __@eq =?= @eq (Rigid-Same) OK __?A =?= nat (Meta-Inst) OK ___Set =<= Type (Reduce-Same) OK -__?x =?= ((fun x y z : nat => ?n) x y z) (Meta-Inst) -___(?n x) =?= x (Meta-Inst) OK +__?x =?= ((fun x y z : nat => ?n) x y z) (Meta-Inst) OK ___nat =<= nat (Reduce-Same) OK __?n =?= ((fun x y z : nat => ?n) y y x) (Meta-Inst) ERR __?n =?= ((fun x y z : nat => ?n) y y x) (Meta-Reduce) OK @@ -2013,55 +1791,11 @@ ___Set =<= Type (Reduce-Same) OK __?x =?= ((fun _ y _ : nat => ?n) x y z) (Meta-Inst) OK ___nat =<= nat (Reduce-Same) OK -__?n =?= x (Meta-Inst) -____(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) -?A =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -nat =<= nat (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Decimal.uint =<= Decimal.uint (Reduce-Same) -Number.uint =<= Number.uint (Reduce-Same) -Type =<= Type (Reduce-Same) -?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-DelDeps) -_?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-Inst) -__Type =<= Type (Reduce-Same) -?T =<= nat (Meta-Inst) -_Set =<= Type (Reduce-Same) -?A =<= nat (Meta-Inst) ERR +__?n =?= x (Meta-Inst) ERR (nat -> nat) nat) - -_Set =<= Type (Reduce-Same)(nat -> nat -> nat) nat -> nat) - -(@eq nat - (match O return (forall _ : nat, nat) with - | O => ?n - | S _ => fun _ : nat => O - end x) - (match O return (forall _ : nat, nat) with - | O => ?n - | S _ => fun _ : nat => O - end x)) =<= (@eq nat x x) (App-FO) -_@eq =<= @eq (Rigid-Same) -_nat =?= nat (Reduce-Same) -_(match O return (forall _ : nat, nat) with - | O => ?n - | S _ => fun _ : nat => O - end x) =?= x (Case-IotaL) -__(?n x) =?= x (Meta-Inst) -__(?n x) =?= x (Meta-DelDeps) -___(?n x) =?= x (Meta-Inst)(nat -> nat -> nat -> nat) nat -> nat -> nat) - -____(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) -_(match O return (forall _ : nat, nat) with - | O => fun n : nat => n - | S _ => fun _ : nat => O - end x) =?= x (Reduce-Same)nat nat -> nat) nat -> nat) +(nat -> nat -> nat -> nat) nat -> nat -> nat) +nat ?n) x y z = (fun x y z : nat => ?n) x z z /\ (fun x y z : nat => ?n) x y z = x) - -___(prod nat nat) =<= (prod nat nat) (Reduce-Same) -__(@pair nat nat (?n x) (?n x)) =?= (@pair nat nat (?n x) x) (App-FO) -___@pair =?= @pair (Rigid-Same) -___nat =?= nat (Reduce-Same) -___nat =?= nat (Reduce-Same) -___(?n x) =?= (?n x) (Meta-Same-Same) -____x =?= x (Reduce-Same) -___(?n x) =?= x (Meta-Inst)(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) x z z) - -___(?n x) =?= x (Meta-DelDeps) -____(?n x) =?= x (Meta-Inst) -_____(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same)?A =?= nat +(?x = ?x) =?= ((fun x y z : nat => ?n) x y z = (fun x y z : nat => ?n) x z z) +?A =?= nat Set ?n) x y z) nat ?n) x y z = x) ?A =?= nat Set ?n) x y z) - -?A =<= Prop (Meta-Inst) -_Type =<= Type (Reduce-Same)nat ?n) x y z) +nat ?n) x y z = (fun x y z : nat => ?n) x z z /\\ (fun x y z : nat => ?n) x y z = x) (App-FO) OK _and =<= and (Rigid-Same) OK @@ -2168,70 +1862,28 @@ __?x =?= ((fun x _ z : nat => ?n) x y z) (Meta-Inst) OK ___nat =<= nat (Reduce-Same) OK __?n =?= x (Meta-Inst) OK -___nat =<= nat (Reduce-Same) -(@eq ?A0 ?x0 ?x0) =<= (@eq Prop (forall (T : Type) (t : T), @eq T t t) - (forall (T : ?T) (t : ?T0), @eq ?A ?x ?y)) (App-FO) -_@eq =<= @eq (Rigid-Same) -_?A0 =?= Prop (Meta-Inst) -__Type =<= Type (Reduce-Same) -_?x0 =?= (forall (T : Type) (t : T), @eq T t t) (Meta-Inst) -__Prop =<= Prop (Reduce-Same) OK +___nat =<= nat (Reduce-Same) OK (forall z : nat, (fun x _ _ : nat => x) x y z = (fun x _ _ : nat => x) x z z /\ (fun x _ _ : nat => x) x y z = x) x) x y z = (fun x _ _ : nat => x) x z z /\ (fun x _ _ : nat => x) x y z = x) - -_(forall (T : Type) (t : T), @eq T t t) =?= (forall (T : ?T) (t : ?T0), @eq ?A ?x ?y) (App-FO) -__(forall (T : Type) (t : T), @eq T t t) =?= (forall (T : ?T) (t : ?T0), @eq ?A ?x ?y) (Prod-Same) -___?T =?= Type (Meta-Inst) -____Type =<= Type (Reduce-Same) -___(forall t : T, @eq T t t) =?= (forall t : ?T, @eq ?A ?x ?y) (App-FO) -____(forall t : T, @eq T t t) =?= (forall t : ?T, @eq ?A ?x ?y) (Prod-Same) -_____?T =?= T (Meta-Inst) -______Type =<= Type (Reduce-Same) -_____(@eq T t t) =?= (@eq ?A ?x ?y) (App-FO)(forall y z : nat, +(forall y z : nat, (fun x _ _ : nat => x) x y z = (fun x _ _ : nat => x) x z z /\ (fun x _ _ : nat => x) x y z = x) x) x y z = (fun x _ _ : nat => x) x z z /\ (fun x _ _ : nat => x) x y z = x) - -______@eq =?= @eq (Rigid-Same) -______?A =?= T (Meta-Inst) -_______Type =<= Type (Reduce-Same) -______?x =?= t (Meta-Inst) -_______T =<= T (Reduce-Same) -______?t =?= t (Meta-Inst) -_______T =<= T (Reduce-Same)(forall x y z : nat, +(forall x y z : nat, (fun x0 _ _ : nat => x0) x y z = (fun x0 _ _ : nat => x0) x z z /\ (fun x0 _ _ : nat => x0) x y z = x) x in forall x y z : nat, T x y z = T x z z /\ T x y z = x) - -prod1 = -@eq_refl Prop (forall (T : Type) (t : T), @eq T t t) - : @eq Prop (forall (T : Type) (t : T), @eq T t t) - (forall (T : Type) (t : T), @eq T t t) -?A =<= Prop (Meta-Inst) -_Type =<= Type (Reduce-Same) -Prop =<= Prop (Reduce-Same) -(@eq ?A ?x ?x) =<= (@eq Prop (forall _ : Prop, True) (forall t : Prop, ?P : Prop)) (App-FO) -_@eq =<= @eq (Rigid-Same) -_?A =?= Prop (Meta-Inst) -__Type =<= Type (Reduce-Same) -_?x =?= (forall _ : Prop, True) (Meta-Inst) -__Prop =<= Prop (Reduce-Same) -_(forall _ : Prop, True) =?= (forall t : Prop, ?P : Prop) (App-FO) -__(forall _ : Prop, True) =?= (forall t : Prop, ?P : Prop) (Prod-Same) -___Prop =?= Prop (Reduce-Same) -___?P =?= True (Meta-Inst) -____Prop =<= Prop (Reduce-Same)(nat -> nat) nat) +(nat -> nat) nat) (nat -> nat -> nat) nat -> nat) (nat -> nat -> nat -> nat) nat -> nat -> nat) nat nat) =<= (nat -> nat) (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +_0 =?= 0 (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +inst1 = eq_refl + : (fun _ : nat => 0) x = 0 + +inst1 uses section variable x. +?T =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; x0:=x\} =<= ?A (Meta-Inst) +_?A =<= ?T@\{x:=x; x0:=x\} (Meta-Inst) +?T@\{x:=x; x0:=x\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +(x = x) =<= (?n x = x) (App-FO) +_@eq =<= @eq (Rigid-Same) +_nat =?= nat (Reduce-Same) +_(?n x) =?= x (Meta-Inst) +_(?n x) =?= x (Meta-DelDeps) +__(?n x) =?= x (Meta-Inst) +___(nat -> nat) =<= (nat -> nat) (Reduce-Same) +_x =?= x (Reduce-Same) +inst2 = eq_refl + : (fun n : nat => n) x = x + +inst2 uses section variable x. +?T =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; x0:=x\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; y:=y; x0:=x; x1:=y\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} =<= ?A (Meta-Inst) +_?A =<= ?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} (Meta-Inst) +?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +(x = x) =<= (?n x y z = x) (App-FO) +_@eq =<= @eq (Rigid-Same) +_nat =?= nat (Reduce-Same) +_(?n x y z) =?= x (Meta-Inst) +_(?n x y z) =?= x (Meta-DelDeps) +__(?n x y z) =?= x (Meta-Inst) +___(nat -> nat -> nat -> nat) =<= (nat -> nat -> nat -> nat) (Reduce-Same) +_x =?= x (Reduce-Same) +inst3 = eq_refl + : (fun n _ _ : nat => n) x y z = x + +inst3 uses section variables x y z. +?T =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; x0:=x\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; y:=y; x0:=x; x1:=y\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} =<= ?A (Meta-Inst) +_?A =<= ?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} (Meta-Inst) +?T@\{x:=x; y:=y; z:=z; x0:=x; x1:=y; x2:=z\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +(z = z) =<= (?n x y z = z) (App-FO) +_@eq =<= @eq (Rigid-Same) +_nat =?= nat (Reduce-Same) +_(?n x y z) =?= z (Meta-Inst) +_(?n x y z) =?= z (Meta-DelDeps) +__(?n x y z) =?= z (Meta-Inst) +___(nat -> nat -> nat -> nat) =<= (nat -> nat -> nat -> nat) (Reduce-Same) +_z =?= z (Reduce-Same) +inst4 = eq_refl + : (fun _ _ n : nat => n) x y z = z + +inst4 uses section variables x y z. +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +nat =<= nat (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +(@eq ?A ?x ?x) =<= (let X : forall _ : nat, nat := ?n in @eq nat (X x) O) (Let-ZetaR) +_(@eq ?A ?x ?x) =<= (@eq nat (?n x) O) (App-FO) +__@eq =<= @eq (Rigid-Same) +__?A =?= nat (Meta-Inst) +___Set =<= Type (Reduce-Same) +__(?n x) =?= ?x (Meta-Inst) +__?x =?= (?n x) (Meta-Inst) +___nat =<= nat (Reduce-Same) +__(?n x) =?= O (Meta-Inst) +___(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +(@eq nat (let X : forall _ : nat, nat := ?n in X x) + (let X : forall _ : nat, nat := ?n in X x)) =<= (@eq nat O O) (App-FO) +_@eq =<= @eq (Rigid-Same) +_nat =?= nat (Reduce-Same) +_(let X : forall _ : nat, nat := ?n in X x) =?= O (App-FO) +_(let X : forall _ : nat, nat := ?n in X x) =?= O (Let-ZetaL) +__(?n x) =?= O (Meta-Inst) +___(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) +_(let X : forall _ : nat, nat := fun _ : nat => O in X x) =?= O (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +?T =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; x0:=x\} =<= ?A (Meta-Inst) +_?A =<= ?T@\{x:=x; x0:=x\} (Meta-Inst) +?T@\{x:=x; x0:=x\} =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +(@eq ?A ?x ?x) =<= (@eq nat ((fun w : forall _ : nat, nat => w) ?w x) O) (App-FO) +_@eq =<= @eq (Rigid-Same) +_?A =?= nat (Meta-Inst) +__Set =<= Type (Reduce-Same) +_?x =?= ((fun w : forall _ : nat, nat => w) ?w x) (Meta-Inst) +__nat =<= nat (Reduce-Same) +_(?w x) =?= O (Meta-Inst) +__(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +?T =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?T@\{x:=x; x0:=x\} =<= ?A (Meta-Inst) +_?A =<= ?T@\{x:=x; x0:=x\} (Meta-Inst) +(@eq ?T@\{x:=x; x0:=x\} ((fun w : forall x0 : nat, ?T => w) ?w x) + ((fun w : forall x0 : nat, ?T => w) ?w x)) =<= (@eq nat O O) (App-FO) +_@eq =<= @eq (Rigid-Same) +_?T@\{x:=x; x0:=x\} =?= nat (Meta-Inst) +__Set =<= Type (Reduce-Same) +_((fun w : forall _ : nat, nat => w) ?w x) =?= O (Lam-BetaL) +__(?w x) =?= O (Meta-Inst) +___(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) +_((fun w : forall _ : nat, nat => w) (fun _ : nat => O) x) =?= O (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Type =<= Type (Reduce-Same) +?T =<= nat (Meta-DelDeps) +_?T =<= nat (Meta-Inst) +__Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +nat =<= nat (Reduce-Same) +(@eq ?A ?x ?x) =<= (@eq nat match O return nat with + | O => ?n + | S _ => O + end x) (App-FO) +_@eq =<= @eq (Rigid-Same) +_?A =?= nat (Meta-Inst) +__Set =<= Type (Reduce-Same) +_?x =?= match O return nat with +| O => ?n +| S _ => O +end (Meta-Inst) +__nat =<= nat (Reduce-Same) +_match O return nat with +| O => ?n +| S _ => O +end =?= x (App-FO) +_match O return nat with +| O => ?n +| S _ => O +end =?= x (Case-IotaL) +__?n =?= x (Meta-Inst) +___nat =<= nat (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Type =<= Type (Reduce-Same) +?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-DelDeps) +_?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-Inst) +__Type =<= Type (Reduce-Same) +?T =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +(@eq ?A ?x ?x) =<= (@eq nat + (match O return (forall _ : nat, nat) with + | O => ?n + | S _ => fun _ : nat => O + end x) x) (App-FO) +_@eq =<= @eq (Rigid-Same) +_?A =?= nat (Meta-Inst) +__Set =<= Type (Reduce-Same) +_?x =?= (match O return (forall _ : nat, nat) with + | O => ?n + | S _ => fun _ : nat => O + end x) (Meta-Inst) +__nat =<= nat (Reduce-Same) +_(match O return (forall _ : nat, nat) with + | O => ?n + | S _ => fun _ : nat => O + end x) =?= x (Case-IotaL) +__(?n x) =?= x (Meta-Inst) +__(?n x) =?= x (Meta-DelDeps) +___(?n x) =?= x (Meta-Inst) +____(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Decimal.uint =<= Decimal.uint (Reduce-Same) +Number.uint =<= Number.uint (Reduce-Same) +Type =<= Type (Reduce-Same) +?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-DelDeps) +_?T0 =<= (forall _ : ?T@\{n:=_ANONYMOUS_REL_1\}, nat) (Meta-Inst) +__Type =<= Type (Reduce-Same) +?T =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +(@eq nat + (match O return (forall _ : nat, nat) with + | O => ?n + | S _ => fun _ : nat => O + end x) + (match O return (forall _ : nat, nat) with + | O => ?n + | S _ => fun _ : nat => O + end x)) =<= (@eq nat x x) (App-FO) +_@eq =<= @eq (Rigid-Same) +_nat =?= nat (Reduce-Same) +_(match O return (forall _ : nat, nat) with + | O => ?n + | S _ => fun _ : nat => O + end x) =?= x (Case-IotaL) +__(?n x) =?= x (Meta-Inst) +__(?n x) =?= x (Meta-DelDeps) +___(?n x) =?= x (Meta-Inst) +____(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) +_(match O return (forall _ : nat, nat) with + | O => fun n : nat => n + | S _ => fun _ : nat => O + end x) =?= x (Reduce-Same) +nat =<= nat (Reduce-Same) +?A0 =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +?B =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?A =<= (prod nat nat) (Meta-Inst) +_Set =<= Type (Reduce-Same) +nat =<= nat (Reduce-Same) +?A =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +?B =<= nat (Meta-Inst) +_Set =<= Type (Reduce-Same) +(prod nat nat) =<= (prod nat nat) (Reduce-Same) +(@eq ?A ?x ?x) =<= (let X : forall _ : nat, nat := ?n in + @eq (prod nat nat) (@pair nat nat (X x) (X x)) (@pair nat nat (X x) x)) (Let-ZetaR) +_(@eq ?A ?x ?x) =<= (@eq (prod nat nat) (@pair nat nat (?n x) (?n x)) (@pair nat nat (?n x) x)) (App-FO) +__@eq =<= @eq (Rigid-Same) +__?A =?= (prod nat nat) (Meta-Inst) +___Set =<= Type (Reduce-Same) +__?x =?= (@pair nat nat (?n x) (?n x)) (Meta-Inst) +___(prod nat nat) =<= (prod nat nat) (Reduce-Same) +__(@pair nat nat (?n x) (?n x)) =?= (@pair nat nat (?n x) x) (App-FO) +___@pair =?= @pair (Rigid-Same) +___nat =?= nat (Reduce-Same) +___nat =?= nat (Reduce-Same) +___(?n x) =?= (?n x) (Meta-Same-Same) +____x =?= x (Reduce-Same) +___(?n x) =?= x (Meta-Inst) +___(?n x) =?= x (Meta-DelDeps) +____(?n x) =?= x (Meta-Inst) +_____(forall _ : nat, nat) =<= (forall _ : nat, nat) (Reduce-Same) +?A0 =<= T (Meta-Inst) +_Type =<= Type (Reduce-Same) +T =<= T (Reduce-Same) +?A =<= Prop (Meta-Inst) +_Type =<= Type (Reduce-Same) +Prop =<= Prop (Reduce-Same) +(@eq ?A0 ?x0 ?x0) =<= (@eq Prop (forall (T : Type) (t : T), @eq T t t) + (forall (T : ?T) (t : ?T0), @eq ?A ?x ?y)) (App-FO) +_@eq =<= @eq (Rigid-Same) +_?A0 =?= Prop (Meta-Inst) +__Type =<= Type (Reduce-Same) +_?x0 =?= (forall (T : Type) (t : T), @eq T t t) (Meta-Inst) +__Prop =<= Prop (Reduce-Same) +_(forall (T : Type) (t : T), @eq T t t) =?= (forall (T : ?T) (t : ?T0), @eq ?A ?x ?y) (App-FO) +__(forall (T : Type) (t : T), @eq T t t) =?= (forall (T : ?T) (t : ?T0), @eq ?A ?x ?y) (Prod-Same) +___?T =?= Type (Meta-Inst) +____Type =<= Type (Reduce-Same) +___(forall t : T, @eq T t t) =?= (forall t : ?T, @eq ?A ?x ?y) (App-FO) +____(forall t : T, @eq T t t) =?= (forall t : ?T, @eq ?A ?x ?y) (Prod-Same) +_____?T =?= T (Meta-Inst) +______Type =<= Type (Reduce-Same) +_____(@eq T t t) =?= (@eq ?A ?x ?y) (App-FO) +______@eq =?= @eq (Rigid-Same) +______?A =?= T (Meta-Inst) +_______Type =<= Type (Reduce-Same) +______?x =?= t (Meta-Inst) +_______T =<= T (Reduce-Same) +______?t =?= t (Meta-Inst) +_______T =<= T (Reduce-Same) +prod1 = +@eq_refl Prop (forall (T : Type) (t : T), @eq T t t) + : @eq Prop (forall (T : Type) (t : T), @eq T t t) + (forall (T : Type) (t : T), @eq T t t) +?A =<= Prop (Meta-Inst) +_Type =<= Type (Reduce-Same) +Prop =<= Prop (Reduce-Same) +(@eq ?A ?x ?x) =<= (@eq Prop (forall _ : Prop, True) (forall t : Prop, ?P : Prop)) (App-FO) +_@eq =<= @eq (Rigid-Same) +_?A =?= Prop (Meta-Inst) +__Type =<= Type (Reduce-Same) +_?x =?= (forall _ : Prop, True) (Meta-Inst) +__Prop =<= Prop (Reduce-Same) +_(forall _ : Prop, True) =?= (forall t : Prop, ?P : Prop) (App-FO) +__(forall _ : Prop, True) =?= (forall t : Prop, ?P : Prop) (Prod-Same) +___Prop =?= Prop (Reduce-Same) +___?P =?= True (Meta-Inst) +____Prop =<= Prop (Reduce-Same) +Finished transaction in 2.016 secs (1.917u,0.071s) (successful) make[1]: Leaving directory '/build/reproducible-path/coq-unicoq-1.6-8.20' dh_auto_test create-stamp debian/debhelper-build-stamp @@ -2496,12 +2532,14 @@ dpkg-buildpackage: info: binary-only upload (no source included) dpkg-genchanges: info: including full source code in upload I: copying local configuration +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/B01_cleanup starting +I: user script /srv/workspace/pbuilder/3292144/tmp/hooks/B01_cleanup finished I: unmounting dev/ptmx filesystem I: unmounting dev/pts filesystem I: unmounting dev/shm filesystem I: unmounting proc filesystem I: unmounting sys filesystem I: cleaning the build env -I: removing directory /srv/workspace/pbuilder/2169626 and its subdirectories -I: Current time: Sat Jul 26 22:21:58 -12 2025 -I: pbuilder-time-stamp: 1753611718 +I: removing directory /srv/workspace/pbuilder/3292144 and its subdirectories +I: Current time: Sun Aug 30 06:46:02 +14 2026 +I: pbuilder-time-stamp: 1788021962