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François Clément's avatar
nat_compl:
François Clément authored 
Add and prove lt_ltn, le_leq.

ord_compl:
WIP: map_injS_uniq.
Add def in_ordS.
Add and prove nth_ord_enum_alt,
              in_ordS_correct_{l{,_alt},r}, val_in_ordS, in_ordS_injS,
              ord_enumS_eq.
Proof of perm_ord_enum_sort.

Finite_family:
Simplify proof.
a4155a59
History
François Clément's avatar a4155a59
History
Name Last commit Last update
FEM
LM
Lebesgue
.gitignore
.gitlab-ci.yml
COPYING
Makefile
README.md
_CoqProject
flake.lock
flake.nix
opam
README.md

Numerical Analysis in Coq

Formal developments and proofs in Coq of numerical analysis problems.

Authors: Aubry, Boldo, Clément, Faissole, Leclerc, Martin, Mayero, Mouhcine

This archive includes several Coq developments:

  • Lebesgue directory is about the Lebesgue Integration of Nonnegative Functions (see paper, paper, and report);

  • Lebesgue/bochner_integral directory is about the Bochner integral (see report);

  • LM directory is about the Lax–Milgram theorem (see paper, paper, and report);

Opam package coq-num-analysis: version 1.0 provides Lebesgue, and LM.

Lebesgue and LM are compiling in Coq 8.12 to 8.16.

Dependencies:

  • coq-mathcomp-ssreflect (prior to version 2)
  • coq-mathcomp-bigenough
  • coq-mathcomp-finmap
  • coq-mathcomp-fingroup
  • coq-coquelicot
  • coq-mathcomp-algebra
  • coq-mathcomp-multinomials
  • coq-mathcomp-classical
  • coq-flocq