Theorems · Inductive type · general topology
UniformContinuousConstSMul
(M : Type v) → (X : Type x) → [UniformSpace X] → [SMul M X] → Prop
A multiplicative action such that for all c,
the map fun x ↦ c • x is uniformly continuous.
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- UniformSpaceSMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement · cited by 2,040
Cited by33
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.toComplLstatement and proof · cited by 11
- ContinuousLinearMap.fromCompletionstatement and proof · cited by 5
- UniformSpace.Completion.toComplₗᵢstatement and proof · cited by 5
- UniformContinuousConstSMul.uniformContinuous_const_smulstatement and proof · cited by 4
- ContinuousLinearMap.completionstatement and proof · cited by 4
- UniformContinuous.const_smulstatement and proof · cited by 3
- IsUnit.smul_uniformitystatement and proof · cited by 2
- UniformContinuous.mul_const'statement and proof · cited by 2
- NumberField.InfinitePlace.Completion.algebraMap_toCompletionstatement and proof · cited by 1
- UniformSpace.Completion.algebraMap_defstatement and proof · cited by 1
- UniformSpace.Completion.coe_smulstatement and proof · cited by 1
- UniformSpace.Completion.coe_toComplLstatement and proof · cited by 1