AffineIsometryEquiv.toIsometryEquiv_symm
∀ {𝕜 : Type u_1} {V : Type u_2} {V₂ : Type u_5} {P : Type u_10} {P₂ : Type u_11} [inst : NormedField 𝕜]
[inst_1 : SeminormedAddCommGroup V] [inst_2 : NormedSpace 𝕜 V] [inst_3 : PseudoMetricSpace P]
[inst_4 : NormedAddTorsor V P] [inst_5 : SeminormedAddCommGroup V₂] [inst_6 : NormedSpace 𝕜 V₂]
[inst_7 : PseudoMetricSpace P₂] [inst_8 : NormedAddTorsor V₂ P₂] (e : P ≃ᵃⁱ[𝕜] P₂),
e.symm.toIsometryEquiv = e.toIsometryEquiv.symm- Defined in
- Mathlib.Analysis.Normed.Affine.Isometry
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedSpacestatement and proof · cited by 12,499
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- PseudoMetricSpacestatement and proof · cited by 1,550
- NormedAddTorsorstatement and proof · cited by 1,325
- NormedFieldstatement and proof · cited by 1,084
- IsometryEquivstatement · cited by 177
- AffineIsometryEquivstatement and proof · cited by 118
- IsometryEquiv.symmstatement · cited by 75
- AffineIsometryEquiv.symmstatement · cited by 29
- AffineIsometryEquiv.toIsometryEquivstatement · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- IsometryEquiv.map_midpointproof · cited by 0