Theorems · Theorem · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.range_homOfLE_app_union_range_b_app

∀ {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) (d : SimplexCategoryᵒᵖ),
  Set.range ⇑(CategoryTheory.ConcreteCategory.hom ((SSet.Subcomplex.homOfLE ⋯).app d)) ⊔
      Set.range ⇑(CategoryTheory.ConcreteCategory.hom ((f.b j).app d)) =
    Set.univ

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProperSuccOrderNoMaxOrder