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rocq-num-analysis

François Clément's avatar
Rm useless (already present in Coquelicot.Hierarchy).
François Clément authored 
Add fct_{inv,div}_eq, fct_scal_eq, lm_fct_scal.
Proofs of lm_fct_{zero,sum,opp,minus},
Rename fct_scal_l_lm -> lm_fct_scal_l,
       fct_scal_r_lm -> lm_fct_scal_r
ce6c2574
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François Clément's avatar ce6c2574
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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