Mathlib Map

Theorems · Theorem · general topology

Topology.IsStrictMap.id

∀ {X : Type u_1} [inst : TopologicalSpace X], Topology.IsStrictMap id

The identity is a strict map.

Defined in
Mathlib.Topology.Maps.Strict.Basic
Cited by
2 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

Topology.IsEmbedding.isStrictMap · cited by 2IsEmbedding.isStrictMapTopology.IsQuotientMap.isStrictMap · cited by 1IsQuotientMap.isStrictMapTopologicalSpace · cited by 24529TopologicalSpaceTopology.IsStrictMap · cited by 45Topology.IsStrictMapIsHomeomorph.isStrictMap · cited by 2IsHomeomorph.isStrictMapIsHomeomorph.id · cited by 2IsHomeomorph.idIsStrictMap.idCITED 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.