Mathlib Map

Theorems · Theorem · general topology

AbstractCompletion.isUniformInducing

∀ {α : Type u} [inst : UniformSpace α] (self : AbstractCompletion.{v, u} α), IsUniformInducing self.coe

The map into the completion is uniform-inducing.

Defined in
Mathlib.Topology.UniformSpace.AbstractCompletion
Cited by
4 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
UniformSpace
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Around this declaration

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

AbstractCompletion.uniformContinuous_coe · cited by 8AbstractCompletion.unifor…AbstractCompletion.isDenseInducing · cited by 7AbstractCompletion.isDens…AbstractCompletion.uniformContinuous_extend · cited by 5AbstractCompletion.unifor…AbstractCompletion.isUniformInducing_extend · cited by 1AbstractCompletion.isUnif…UniformSpace · cited by 2040UniformSpaceIsUniformInducing · cited by 128IsUniformInducingAbstractCompletion.space · cited by 41AbstractCompletion.spaceAbstractCompletion · cited by 41AbstractCompletionAbstractCompletion.uniformStruct · cited by 30AbstractCompletion.unifor…AbstractCompletion.coe · cited by 26AbstractCompletion.coeAbstractCompletion.isUniformI…CITED BYCITES

Cites6

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Cited by4

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