Theorems · Theorem · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.w_assoc

∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {ι : Type v} [inst : LinearOrder ι] (f : P.RankFunction ι)
  [inst_1 : P.IsProper] [inst_2 : SuccOrder ι] [inst_3 : NoMaxOrder ι] (j : ι) {Z : SSet}
  (h : (f.filtration (Order.succ j)).toSSet ⟶ Z),
  CategoryTheory.CategoryStruct.comp (f.t j) (CategoryTheory.CategoryStruct.comp (SSet.Subcomplex.homOfLE ⋯) h) =
    CategoryTheory.CategoryStruct.comp (f.m j) (CategoryTheory.CategoryStruct.comp (f.b j) h)

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

0 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProperSuccOrderNoMaxOrder