# Packages matching: installed
# Name # Installed # Synopsis
base-bigarray base
base-domains base
base-nnp base Naked pointers prohibited in the OCaml heap
base-threads base
base-unix base
conf-gmp 4 Virtual package relying on a GMP lib system installation
coq 8.18.0 The Coq Proof Assistant
coq-core 8.18.0 The Coq Proof Assistant -- Core Binaries and Tools
coq-stdlib 8.18.0 The Coq Proof Assistant -- Standard Library
coqide-server 8.18.0 The Coq Proof Assistant, XML protocol server
dune 3.13.0 Fast, portable, and opinionated build system
ocaml 5.1.1 The OCaml compiler (virtual package)
ocaml-base-compiler 5.1.1 Official release 5.1.1
ocaml-config 3 OCaml Switch Configuration
ocaml-options-vanilla 1 Ensure that OCaml is compiled with no special options enabled
ocamlfind 1.9.6 A library manager for OCaml
zarith 1.13 Implements arithmetic and logical operations over arbitrary-precision integers
# opam file:
opam-version: "2.0"
maintainer: "Laurent.Thery@inria.fr"
homepage: "https://github.com/thery/twoSquare"
bug-reports: "https://github.com/thery/twoSquare/issues"
license: "MIT"
build: [
["./configure.sh"]
[make "-j%{jobs}%"]
]
install: [make "install"]
depends: [
"ocaml"
"coq" {>= "8.8"}
"coq-mathcomp-ssreflect" {>= "1.7" & < "1.9~"}
"coq-mathcomp-algebra" {>= "1.7"}
"coq-mathcomp-field" {>= "1.7"}
]
tags: [
"logpath:mathcomp.contrib.sum_of_two_square"
]
synopsis:
"A proof of Fermat's theorem on sum of two squares. It is the proof that uses gaussian integers. This is done in ssreflect. It contains two file :"
description: """
gauss_int.v : the definition of gaussian integers
fermat2.v : the proof of Fermat's theorem
The final statement reads:
===================================================
From mathcomp
Require Import all_ssreflect.
From mathcomp.contrib.sum_of_two_square
Require Import gauss_int fermat2.
Check sum2stest.
sum2stest
: forall n : nat,
reflect
(forall p : nat,
prime p ->
odd p -> p %| n -> odd (logn p n) -> p %% 4 = 1)
(n \\is a sum_of_two_square)
==================================================="""
authors: "Laurent Thery"
url {
src: "https://github.com/thery/twoSquare/archive/v1.0.1.zip"
checksum: "md5=1633745a81e8e3941d00ffb7e6e89883"
}
trueDry install with the current Coq version:
opam install -y --show-action coq-mathcomp-sum-of-two-square.1.0.1 coq.8.18.0[NOTE] Package coq is already installed (current version is 8.18.0).
[ERROR] Package conflict!
* No agreement on the version of ocaml:
- (invariant) -> ocaml-base-compiler >= 5.1.1 -> ocaml = 5.1.1
- coq-mathcomp-sum-of-two-square >= 1.0.1 -> coq-mathcomp-ssreflect < 1.9~ -> coq < 8.6~ -> ocaml < 4.02.0
You can temporarily relax the switch invariant with `--update-invariant'
* No agreement on the version of ocaml-base-compiler:
- (invariant) -> ocaml-base-compiler >= 5.1.1
- coq-mathcomp-sum-of-two-square >= 1.0.1 -> coq-mathcomp-ssreflect < 1.9~ -> coq < 8.6~ -> ocaml < 4.02.0 -> ocaml-base-compiler < 3.07+1
* Missing dependency:
- coq-mathcomp-sum-of-two-square >= 1.0.1 -> coq-mathcomp-ssreflect < 1.9~ -> coq < 8.6~ -> ocaml < 4.02.0 -> ocaml-variants -> ocaml-beta
unmet availability conditions: 'enable-ocaml-beta-repository'
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-mathcomp-sum-of-two-square.1.0.1truetrueNo files were installed.
true