Theorems · Definition · general topology
IsometryEquiv.mulLeft
{G : Type v} → [inst : Group G] → [inst_1 : PseudoEMetricSpace G] → [IsIsometricSMul G G] → G → G ≃ᵢ GMultiplication y ↦ x * y as an IsometryEquiv.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- Groupstatement and proof · cited by 6,238
- PseudoEMetricSpacestatement and proof · cited by 1,536
- IsometryEquivstatement · cited by 177
- IsIsometricSMulstatement and proof · cited by 74
- Equiv.mulLeftproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- IsometryEquiv.mulLeft_toEquivstatement and proof · cited by 0
- IsometryEquiv.mulLeft_applystatement and proof · cited by 0
- IsometryEquiv.mulLeft_symmstatement · cited by 0