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Numerical Analysis in Coq
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Micaela Mayero
Numerical Analysis in Coq
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3aaba82f3a9d4961d99dda7e791a5df7109493b1
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7
Subset
essais-8.18
master
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protected
no_ms
pr_no_math-comp
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test_skolem_ko
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5
PhD_HM_2024
1.0
Bochner.1.0
Tonelli.1.0
LInt_p.1.0
12 results
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Created with Raphaël 2.2.0
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Done.
Split Subset_def into
Remove empty obsolete file.
define f_inv and add preimage_B_eq lemma to prove preimage_correct.
Simplify.
This is the new definition...
Propagate new API.
image2_compose_{l,r} generalize x_opp_map_any_compose_r.
Move extensionality results about images and preimages to Subset_def.
Propagate new API.
image2 is more general than x_opp_map_any.
Propagate new API.
Move basic fun stuff up.
Would this help when f is of the form (fun A => union A B) for fixed B?
Propagate renaming.
Fix disj_finite_alt_inter_finite and partition_finite_inter_finite.
WIP: fill empty proofs (disj_finite_alt_inter_finite_diffm_seq_r).
Use new API.
Renaming: unify any/finite/seq (= drop m in subsetm_{finite,seq}_ext*).
Renaming: unify any/finite/seq (= drop m in subsetm_{finite,seq}_ext*).
Fix, and prove, x_opf_map_any_compose_r.
Use new API.
Fall back: drop _map in *image{f,p}_map_any, and m in *imagem_seq.
Fall back: drop _map in *image{f,p}_map_any, and m in *imagem_seq.
Fall back: drop _map in *image{f,p}_map_any, and m in *imagem_seq.
Renaming: {,x_}<op>p_any* -> {,x_}<op>p_map_any*, with <op> = op/union/inter/diff/prod.
WIP: filling empty proofs about prod and p_any ops.
WIP: fix statements and fill empty proofs
Renaming: f_fun_any -> f_map_any, f_finite -> m_finite, f_seq -> m_seq.
Rename operators on unskolem collections of subsets: *_any* -> *p_any*.
Rename compl_seq into complf_seq, and mix_seq into mixf_seq.
Rename complf_any into complf_fun_any, and mixf_any into mixf_fun_any.
Change order.
Change order.
Done.
Extract todo's into TODO file.
Extract todo's into TODO file.
WIP: unify any/finite/seq.
define cur_to_ref_inv, theta_cur and interp_op_local_cur.
WIP: lemma pow_bBijective_bInjective_l...
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