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Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean
@@ -636,9 +636,7 @@ theorem closedInterior_face_subset_closedInterior [ZeroLEOneClass k] {n : ℕ} (
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rw [affineCombination_mem_closedInterior_face_iff_mem_Icc _ _ hw1] at hp
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rw [affineCombination_mem_closedInterior_iff hw1]
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intro i
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- by_cases hi : i ∈ fs
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- · exact hp.1 i hi
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- · simp [hp.2 i hi]
+ by_cases hi : i ∈ fs <;> aesop
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theorem closedInterior_faceOpposite_subset_closedInterior [ZeroLEOneClass k] {n : ℕ} [NeZero n]
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(s : Simplex k P n) (i : Fin (n + 1)) :
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