Theorems · Theorem · algebraic topology

Topology.RelCWComplex.closedCell_subset_skeletonLT

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : T2Space X] [inst_1 : Topology.RelCWComplex C D] (n : ℕ)
  (j : Topology.RelCWComplex.cell C n),
  Topology.RelCWComplex.closedCell n j ⊆ ↑(Topology.RelCWComplex.skeletonLT C (↑n + 1))

Defined in

Mathlib.Topology.CWComplex.Classical.Basic

Cited by

3 results in Mathlib

Foundations

Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceT2SpaceTopology.RelCWComplex