Mathlib Map

Theorems · Theorem · algebraic topology

Topology.RelCWComplex.Subcomplex.closed

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D]
  (E : Topology.RelCWComplex.Subcomplex C), IsClosed ↑E
Defined in
Mathlib.Topology.CWComplex.Classical.Basic
Cited by
2 results in Mathlib
Foundations
Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopology.RelCWComplex
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Topology.RelCWComplex.Subcomplex.closedCell_subset_of_mem · cited by 4Subcomplex.closedCell_sub…Topology.CWComplex.Subcomplex.closed · cited by 0Subcomplex.closedSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeIsClosed · cited by 1639IsClosedTopology.RelCWComplex · cited by 195Topology.RelCWComplexTopology.RelCWComplex.Subcomplex · cited by 110RelCWComplex.SubcomplexTopology.RelCWComplex.Subcomplex.closed' · cited by 1Subcomplex.closed'Subcomplex.closedCITED BYCITES

Cites7

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.