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Theorems · Theorem · algebraic topology

Topology.RelCWComplex.isClosedBase

∀ {X : Type u} {inst : TopologicalSpace X} (C : Set X) {D : outParam (Set X)} [self : Topology.RelCWComplex C D],
  IsClosed D

The base D is closed.

Defined in
Mathlib.Topology.CWComplex.Classical.Basic
Cited by
2 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
Topology.RelCWComplex
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Topology.RelCWComplex.closed · cited by 3RelCWComplex.closedTopology.RelCWComplex.isClosed · cited by 1RelCWComplex.isClosedSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsClosed · cited by 1639IsClosedTopology.RelCWComplex · cited by 195Topology.RelCWComplexRelCWComplex.isClosedBaseCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.