Theorems · Theorem · functional analysis
IsometryEquiv.vaddConst_apply
∀ {V : Type u_2} {P : Type u_3} [inst : SeminormedAddCommGroup V] [inst_1 : PseudoMetricSpace P]
[inst_2 : NormedAddTorsor V P] (x : P) (v : V), (IsometryEquiv.vaddConst x) v = v +ᵥ x- Defined in
- Mathlib.Analysis.Normed.Group.AddTorsor
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 155 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.
- DFunLike.coestatement and proof · cited by 62,936
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- HVAdd.hVAddstatement · cited by 1,820
- PseudoMetricSpacestatement and proof · cited by 1,550
- NormedAddTorsorstatement and proof · cited by 1,325
- IsometryEquivstatement · cited by 177
- IsometryEquiv.vaddConststatement and proof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.univBall_apply_zeroproof · cited by 1
- AffineSubspace.euclideanHausdorffMeasure_eq_lintegralproof · cited by 1
- Submodule.measurableEquivProd_symm_applyproof · cited by 1