Mathlib Map

Theorems · Theorem · general topology

IsClosedMap.id

∀ {X : Type u_1} [inst : TopologicalSpace X], IsClosedMap id
Defined in
Mathlib.Topology.Maps.Basic
Cited by
8 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Topology.IsClosedEmbedding.id · cited by 1IsClosedEmbedding.idIsClosed.isClosedMap_inclusion · cited by 0IsClosed.isClosedMap_incl…isClosedMap_toAdd · cited by 0isClosedMap_toAddisClosedMap_toDual · cited by 0isClosedMap_toDualisClosedMap_toMul · cited by 0isClosedMap_toMulisClosedMap_ofAdd · cited by 0isClosedMap_ofAddisClosedMap_ofDual · cited by 0isClosedMap_ofDualisClosedMap_ofMul · cited by 0isClosedMap_ofMulSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsClosed · cited by 1639IsClosedIsClosedMap · cited by 138IsClosedMapSet.image_id · cited by 60Set.image_idIsClosedMap.idCITED BYCITES

Cites5

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

Cited by8

Results whose statement or proof uses this declaration.