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Numerical Analysis in Coq
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Micaela Mayero
Numerical Analysis in Coq
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7
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essais-8.18
master
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no_ms
pr_no_math-comp
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test_skolem_ko
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PhD_HM_2024
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Bochner.1.0
Tonelli.1.0
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WIP: proof of comb_lin_concatF.
Add concatF_last (admitted).
Move stuff to Finite_family (new) and comb_lin.
Move notation 'E^n to Finite_family.
Collect in new file Finite_family all stuff on 'E^n with no structure on E.
New def for castF.
passage dans poly_Lagrange
ssr_Coquelicot and Coquelicot_ssr are no longer used.
ssr_Coquelicot and Coquelicot_ssr are no longer used.
QUIET!
Oups, now using SSReflect: have to force standard "rewrite" with "->".
Move stuff around.
Apparently, both conclusions of Steinitz exchange lemma are proved together·
Borrow concat from sandbox (renamed concatF).
ex_span -> span_ex.
Highlight lemmas that are already explicitly used.
Pas d'admits dans comb_lin
simplify the proof of FE_is_unisolvant_cur lemma.
Hint: @Sg E PE...
Use magic: subst!
Reorganize.
Tune imports.
Merge branch 'master' of depot.lipn.univ-paris13.fr:mayero/coq-num-analysis
Reorder + proof of compose_is_surj_compat, is_surj_compose and
Essais SB
Reorganize + proof of compose_is_inj_compat and is_inj_compose (statement modified).
Proof of compose_range_compat, compose_identity_compat, and compose_is_bij_id_compat.
Reorder + proof of compose_is_bij_compat.
Reorder + proof of is_bij_equiv.
New section + proof of comb_lin_kronecker_product.
Reorder + proof of comb_lin_scal_l (to be renamed).
compose needs 3 sets -> new section.
Merge branch 'master' of depot.lipn.univ-paris13.fr:mayero/coq-num-analysis
WIP: comb_lin_ext_gen.
Finish the proof of FE_is_unisolvant_cur lemma.
Proof of FE_is_unisolvant_cur (WIP)
remove is_linear_mapping_sigma_cur_aux lemma (not necessary).
move and prove cur_to_ref_bij lemma.
Add cur_to_ref_bij (admitted).
Reorganization (= move stuff).
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