Theorems · Theorem · general topology
IsUnit.smul_uniformity
∀ {M : Type v} {X : Type x} [inst : UniformSpace X] [inst_1 : Monoid M] [inst_2 : MulAction M X]
[UniformContinuousConstSMul M X] {c : M}, IsUnit c → c • uniformity X = uniformity X- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Monoidstatement and proof · cited by 3,887
- le_antisymmproof · cited by 2,068
- UniformSpacestatement and proof · cited by 2,040
- IsUnitstatement and proof · cited by 1,602
- one_smulproof · cited by 1,374
- MulActionstatement and proof · cited by 1,294
- uniformitystatement and proof · cited by 765
- smul_smulproof · cited by 360
- UniformContinuousConstSMulstatement and proof · cited by 27
- IsUnit.exists_right_invproof · cited by 11
- UniformContinuousConstSMul.uniformContinuous_const_smulproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- smul_uniformityproof · cited by 0
- smul_uniformity₀proof · cited by 0