Theorems · Theorem · algebraic topology

Topology.RelCWComplex.closedCell_nonempty

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] (n : ℕ)
  (j : Topology.RelCWComplex.cell C n), (Topology.RelCWComplex.closedCell n j).Nonempty

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: TopologicalSpace Topology.RelCWComplex

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Setstatement and proof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
Set.Nonemptystatement · cited by 2,627
PartialEquiv.toFunproof · cited by 821
Topology.RelCWComplexstatement and proof · cited by 195
Topology.RelCWComplex.cellstatement and proof · cited by 194
Topology.RelCWComplex.closedCellstatement · cited by 70
Topology.RelCWComplex.mapproof · cited by 44
Topology.RelCWComplex.map_zero_mem_closedCellproof · cited by 2

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