Theorems · Definition · general topology
IsometryEquiv.addRight
{G : Type v} → [inst : AddGroup G] → [inst_1 : PseudoEMetricSpace G] → [IsIsometricVAdd Gᵃᵒᵖ G] → G → G ≃ᵢ GAddition y ↦ y + x as an IsometryEquiv.
- Cited by
- 5 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- PseudoEMetricSpacestatement and proof · cited by 1,536
- AddOppositestatement and proof · cited by 452
- IsometryEquivstatement · cited by 177
- IsIsometricVAddstatement and proof · cited by 74
- Equiv.addRightproof · cited by 30
Cited by6
Results whose statement or proof uses this declaration.
- IsometryEquiv.toRealLinearIsometryEquivproof · cited by 2
- IsometryEquiv.addRight_applystatement and proof · cited by 0
- IsometryEquiv.addRight_symmstatement · cited by 0
- IsometryEquiv.addRight_toEquivstatement and proof · cited by 0
- IsometryEquiv.subRight_symmstatement · cited by 0
- IsometryEquiv.addRight.congr_simpstatement and proof · cited by 0