Mathlib Map

Theorems · Theorem · general topology

UniformContinuousConstSMul.uniformContinuous_const_smul

∀ {M : Type v} {X : Type x} {inst : UniformSpace X} {inst_1 : SMul M X} [self : UniformContinuousConstSMul M X] (c : M),
  UniformContinuous fun x => c • x
Defined in
Mathlib.Topology.Algebra.UniformMulAction
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
UniformContinuousConstSMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

UniformContinuous.const_smul · cited by 3UniformContinuous.const_s…IsUnit.smul_uniformity · cited by 2IsUnit.smul_uniformityUniformSpace.Completion.coe_smul · cited by 1Completion.coe_smulUniformSpace.Completion.map_smul_eq_mul_coe · cited by 0Completion.map_smul_eq_mu…UniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousUniformContinuousConstSMul · cited by 27UniformContinuousConstSMulUniformContinuousConstSMul.un…CITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.