Theorems · Theorem · algebraic topology

Topology.RelCWComplex.openCell_congr

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] (n : ℕ)
  {s t_1 : Topology.RelCWComplex.cell C n},
  Topology.RelCWComplex.openCell n s = Topology.RelCWComplex.openCell n t_1 → s = t_1

If two open cells are equal, so are the underlying cells.

Defined in

Mathlib.Topology.CWComplex.Classical.Basic

Cited by

0 results in Mathlib

Foundations

Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopology.RelCWComplex