Mathlib Map

Theorems · Theorem · general topology

IsUniformInducing.isUltraUniformity

∀ {X : Type u_1} {Y : Type u_2} [inst : UniformSpace X] [inst_1 : UniformSpace Y] [IsUltraUniformity Y] {f : X → Y},
  IsUniformInducing f → IsUltraUniformity X
Defined in
Mathlib.Topology.UniformSpace.Ultra.Completion
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceUniformSpaceIsUltraUniformity
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsUltraUniformity.separationQuotient_iff · cited by 1IsUltraUniformity.separat…IsUltraUniformity.cauchyFilter_iff · cited by 1IsUltraUniformity.cauchyF…UniformSpace · cited by 2040UniformSpaceIsUniformInducing · cited by 128IsUniformInducingIsUltraUniformity · cited by 13IsUltraUniformityIsUniformInducing.comap_uniformSpace · cited by 4IsUniformInducing.comap_u…IsUltraUniformity.comap · cited by 1IsUltraUniformity.comapIsUniformInducing.isUltraUnif…CITED BYCITES

Cites5

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Cited by2

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