Theorems · Theorem · general topology
IsIsometricVAdd.isometry_vadd
∀ {M : Type u} (X : Type w) {inst : PseudoEMetricSpace X} {inst_1 : VAdd M X} [self : IsIsometricVAdd M X] (c : M),
Isometry fun x => c +ᵥ x- Cited by
- 10 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsIsometricVAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HVAdd.hVAddstatement · cited by 1,820
- PseudoEMetricSpacestatement and proof · cited by 1,536
- VAddstatement and proof · cited by 616
- Isometrystatement · cited by 230
- IsIsometricVAddstatement and proof · cited by 74
Cited by10
Results whose statement or proof uses this declaration.
- dist_vaddproof · cited by 4
- isometry_add_leftproof · cited by 3
- isometry_add_rightproof · cited by 2
- nndist_vaddproof · cited by 2
- Metric.infEDist_vaddproof · cited by 1
- Bornology.IsBounded.vaddproof · cited by 1
- edist_vadd_leftproof · cited by 0
- diam_vaddproof · cited by 0
- ediam_vaddproof · cited by 0
- MeasureTheory.hausdorffMeasure_vaddproof · cited by 0