Theorems · Theorem · algebraic topology

SSet.horn.IsCompatible.liftOfKanComplex.congr_simp

∀ {X : SSet} {n : ℕ} {i : Fin (n + 2)} {f f_1 : (j : Fin (n + 2)) → j ≠ i → (SSet.stdSimplex.obj { len := n } ⟶ X)}
  (e_f : f = f_1) [inst : X.KanComplex] (hf : SSet.horn.IsCompatible f), hf.liftOfKanComplex = ⋯.liftOfKanComplex

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.KanComplex

Cited by

0 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SSet.KanComplex