Mathlib Map

Theorems · Theorem · category theory

CompHausLike.ofHom_id

∀ (P : TopCat → Prop) {X : Type u} [inst : TopologicalSpace X] [inst_1 : CompactSpace X] [inst_2 : T2Space X]
  [inst_3 : CompHausLike.HasProp P X],
  CompHausLike.ofHom P (ContinuousMap.id X) = CategoryTheory.CategoryStruct.id (CompHausLike.of P X)
Defined in
Mathlib.Topology.Category.CompHausLike.Basic
Cited by
0 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceCompactSpaceT2SpaceCompHausLike.HasProp
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Quiver.Hom · cited by 32603Quiver.HomTopologicalSpace · cited by 24529TopologicalSpaceCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idTopCat · cited by 1889TopCatT2Space · cited by 1351T2SpaceCompactSpace · cited by 593CompactSpaceCompHausLike · cited by 145CompHausLikeContinuousMap.id · cited by 73ContinuousMap.idCompHausLike.of · cited by 24CompHausLike.ofCompHausLike.HasProp · cited by 19CompHausLike.HasPropCompHausLike.ofHom · cited by 11CompHausLike.ofHomCompHausLike.ofHom_idCITED BYCITES

Cites11

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.