Theorems · Theorem · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.exists_or_of_range_m_N

∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {ι : Type v} [inst : LinearOrder ι] (f : P.RankFunction ι)
  [inst_1 : P.IsProper] {j : ι} (s : (SSet.Subcomplex.range (f.m j)).N),
  ∃ c, s = SSet.Subcomplex.Pairing.RankFunction.Cell.type₁ f c ∨ s = SSet.Subcomplex.Pairing.RankFunction.Cell.type₂ f c

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

0 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProper