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fix: only one spineToSimplex_spine_apply simps
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gio256 committed Jan 22, 2025
1 parent ff883fb commit 6c775f3
Showing 1 changed file with 0 additions and 2 deletions.
2 changes: 0 additions & 2 deletions Mathlib/AlgebraicTopology/SimplicialSet/StrictSegal.lean
Original file line number Diff line number Diff line change
Expand Up @@ -230,12 +230,10 @@ lemma spine_spineToSimplex : X.spine n ∘ sx.spineToSimplex = id :=
lemma spineToSimplex_spine : sx.spineToSimplex ∘ X.spine n = id :=
sx n |>.spineToSimplex_spine n (by omega)

@[simp]
lemma spine_spineToSimplex_apply (f : Path X n) :
X.spine n (sx.spineToSimplex f) = f :=
sx n |>.spine_spineToSimplex_apply n _ f

@[simp]
lemma spineToSimplex_spine_apply (Δ : X _[n]) :
sx.spineToSimplex (X.spine n Δ) = Δ :=
sx n |>.spineToSimplex_spine_apply n _ Δ
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