# Packages matching: installed
# Name # Installed # Synopsis
base-bigarray base
base-threads base
base-unix base
conf-findutils 1 Virtual package relying on findutils
conf-gmp 4 Virtual package relying on a GMP lib system installation
coq 8.14.1 Formal proof management system
dune 3.1.1 Fast, portable, and opinionated build system
ocaml 4.12.1 The OCaml compiler (virtual package)
ocaml-base-compiler 4.12.1 Official release 4.12.1
ocaml-config 2 OCaml Switch Configuration
ocaml-options-vanilla 1 Ensure that OCaml is compiled with no special options enabled
ocamlfind 1.9.3 A library manager for OCaml
zarith 1.12 Implements arithmetic and logical operations over arbitrary-precision integers
# 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" {>= "8.9" & < "8.10~"}
]
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/v8.9.0.tar.gz"
checksum: "md5=3723e1731f3dc6eed21c116f1415b27a"
}
trueDry install with the current Coq version:
opam install -y --show-action coq-zfc.8.9.0 coq.8.14.1[NOTE] Package coq is already installed (current version is 8.14.1).
The following dependencies couldn't be met:
- coq-zfc -> coq < 8.10~ -> ocaml < 4.10
base of this switch (use `--unlock-base' to force)
No solution found, exiting
Dry install without Coq/switch base, to test if the problem was incompatibility with the current Coq/OCaml version:
opam remove -y coq; opam install -y --show-action --unlock-base coq-zfc.8.9.0truetrueNo files were installed.
true