# Packages matching: installed
# Name # Installed # Synopsis
base-bigarray base
base-num base Num library distributed with the OCaml compiler
base-threads base
base-unix base
camlp5 7.14 Preprocessor-pretty-printer of OCaml
conf-findutils 1 Virtual package relying on findutils
conf-perl 2 Virtual package relying on perl
coq 8.7.1 Formal proof management system
num 0 The Num library for arbitrary-precision integer and rational arithmetic
ocaml 4.05.0 The OCaml compiler (virtual package)
ocaml-base-compiler 4.05.0 Official 4.05.0 release
ocaml-config 1 OCaml Switch Configuration
ocamlfind 1.9.6 A library manager for OCaml
# opam file:
opam-version: "2.0"
maintainer: "Hugo.Herbelin@inria.fr"
homepage: "https://github.com/coq-contribs/zfc"
license: "LGPL 2.1"
build: [make "-j%{jobs}%"]
install: [make "install"]
remove: ["rm" "-R" "%{lib}%/coq/user-contrib/ZFC"]
depends: [
"ocaml"
"coq" {>= "8.7" & < "8.8~"}
]
tags: [
"keyword: set theory"
"keyword: Zermelo-Fraenkel"
"keyword: Calculus of Inductive Constructions"
"category: Mathematics/Logic/Set theory"
]
authors: [ "Benjamin Werner" ]
bug-reports: "https://github.com/coq-contribs/zfc/issues"
dev-repo: "git+https://github.com/coq-contribs/zfc.git"
synopsis: "An encoding of Zermelo-Fraenkel Set Theory in Coq"
description: """
The encoding of Zermelo-Fraenkel Set Theory is largely inspired by
Peter Aczel's work dating back to the eighties. A type Ens is defined,
which represents sets. Two predicates IN and EQ stand for membership
and extensional equality between sets. The axioms of ZFC are then
proved and thus appear as theorems in the development.
A main motivation for this work is the comparison of the respective
expressive power of Coq and ZFC.
A non-computational type-theoretical axiom of choice is necessary to
prove the replacement schemata and the set-theoretical AC.
The main difference between this work and Peter Aczel's is that
propositions are defined on the impredicative level Prop. Since the
definition of Ens is, however, still unchanged, I also added most of
Peter Aczel's definition. The main advantage of Aczel's approach is a
more constructive vision of the existential quantifier (which gives
the set-theoretical axiom of choice for free)."""
flags: light-uninstall
url {
src: "https://github.com/coq-contribs/zfc/archive/v8.7.0.tar.gz"
checksum: "md5=df3d5e558ec4b88676252dfb41500683"
}
trueDry install with the current Coq version:
opam install -y --show-action coq-zfc.8.7.0 coq.8.7.1Dry install without Coq/switch base, to test if the problem was incompatibility with the current Coq/OCaml version:
trueopam list; echo; ulimit -Sv 4000000; timeout 4h opam install -y --deps-only coq-zfc.8.7.0 coq.8.7.1opam list; echo; ulimit -Sv 16000000; timeout 4h opam install -y -v coq-zfc.8.7.0 coq.8.7.1Total: 669 K
../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/zfc.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/zfc.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/zfc.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Axioms.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Constructive.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Axioms.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Ordinal_theory.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Plump.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Plump.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Constructive.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Sets.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Cartesian.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Ordinal_theory.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Hierarchy.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Cartesian.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Axioms.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Replacement.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Replacement.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Plump.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Constructive.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Omega.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Sets.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Ordinal_theory.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Cartesian.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Omega.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Hierarchy.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Russell.glob../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Sets.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Replacement.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Omega.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Hierarchy.v../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Russell.vo../ocaml-base-compiler.4.05.0/lib/coq/user-contrib/ZFC/Russell.vopam remove -y coq-zfc.8.7.0