Mathlib Map

Theorems · Theorem · general topology

UniformSpace.Completion.map_id

∀ {α : Type u_1} [inst : UniformSpace α], UniformSpace.Completion.map id = id
Defined in
Mathlib.Topology.UniformSpace.Completion
Cited by
2 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

UniformSpace.Completion.mapRingHom_id · cited by 0Completion.mapRingHom_idNormedAddGroupHom.completion_id · cited by 0NormedAddGroupHom.complet…UniformSpace · cited by 2040UniformSpaceUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.map · cited by 23Completion.mapUniformSpace.Completion.cPkg · cited by 23Completion.cPkgAbstractCompletion.map_id · cited by 1AbstractCompletion.map_idCompletion.map_idCITED BYCITES

Cites5

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.