Theorems · Theorem · algebraic topology

Topology.CWComplex.nonempty_cellFrontier

∀ {X : Type u_1} [t : TopologicalSpace X] {C : Set X} [inst : Topology.CWComplex C] {n : ℕ},
  n ≠ 0 → ∀ (j : Topology.RelCWComplex.cell C n), (Topology.RelCWComplex.cellFrontier n j).Nonempty

Alias of Topology.RelCWComplex.nonempty_cellFrontier.

Defined in: Mathlib.Topology.CWComplex.Classical.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace Topology.CWComplex

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Setstatement · cited by 53,352
TopologicalSpacestatement · cited by 24,529
Set.Nonemptystatement · cited by 2,627
Topology.RelCWComplex.cellstatement · cited by 194
Topology.RelCWComplex.cellFrontierstatement · cited by 45
Topology.CWComplexstatement · cited by 44
Topology.RelCWComplex.nonempty_cellFrontierproof · cited by 1

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