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feat(analysic/convex): add lemmas and defs about low-dimensional simplices #19101
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| lemma ite_eq_mem_std_simplex (i : ι) : (λ j, ite (i = j) (1:𝕜) 0) ∈ std_simplex 𝕜 ι := | ||
| ⟨λ j, by simp only; split_ifs; norm_num, by rw [finset.sum_ite_eq, if_pos (finset.mem_univ _)]⟩ | ||
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| lemma single_mem_std_simplex (i : ι) : pi.single i 1 ∈ std_simplex 𝕜 ι := |
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I think this is missing a DecidableEq?
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There is a decidable_eq variable a few lines above.
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I'm going to port it using oneshot. |
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Forward-ported as leanprover-community/mathlib4#10325 |
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…10325) Forward-port of leanprover-community/mathlib3#19101 Motivated by https://github.com/Shamrock-Frost/BrouwerFixedPoint Co-authored-by: @Shamrock-Frost
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…10325) Forward-port of leanprover-community/mathlib3#19101 Motivated by https://github.com/Shamrock-Frost/BrouwerFixedPoint Co-authored-by: @Shamrock-Frost
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…10325) Forward-port of leanprover-community/mathlib3#19101 Motivated by https://github.com/Shamrock-Frost/BrouwerFixedPoint Co-authored-by: @Shamrock-Frost
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Motivated about a
homeomorphstatemnt from Shamrock-Frost/BrouwerFixedPointCo-authored-by: @Shamrock-Frost
Should lemmas about set equalities be
simp? Orstd_simplexshouldbe the normal form no matter what?