Theorems · Theorem · algebraic topology

Topology.RelCWComplex.Subcomplex.closedCell_subset_of_mem

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [T2Space X] [inst : Topology.RelCWComplex C D]
  (E : Topology.RelCWComplex.Subcomplex C) {n : ℕ} {i : Topology.RelCWComplex.cell C n},
  i ∈ E.I n → Topology.RelCWComplex.closedCell n i ⊆ ↑E

Defined in

Mathlib.Topology.CWComplex.Classical.Subcomplex

Cited by

4 results in Mathlib

Foundations

Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceT2SpaceTopology.RelCWComplex