Mathlib Map

Theorems · Theorem · general topology

UniformEquiv.uniformContinuous_toFun

∀ {α : Type u_4} {β : Type u_5} [inst : UniformSpace α] [inst_1 : UniformSpace β] (self : α ≃ᵤ β),
  UniformContinuous self.toFun

Uniform continuity of the function

Defined in
Mathlib.Topology.UniformSpace.Equiv
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
UniformSpaceUniformSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

UniformEquiv.symm · cited by 28UniformEquiv.symmUniformEquiv.uniformContinuous · cited by 5UniformEquiv.uniformConti…UniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousEquiv.toFun · cited by 279Equiv.toFunUniformEquiv · cited by 80UniformEquivUniformEquiv.toEquiv · cited by 21UniformEquiv.toEquivUniformEquiv.uniformContinuou…CITED 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.