Theorems · Theorem · category theory
CategoryTheory.Iso.toIsometryEquiv_invFun
∀ {R : Type u} [inst : CommRing R] {X Y : QuadraticModuleCat R} (i : X ≅ Y) (a : ↑Y.toModuleCat),
i.toIsometryEquiv.invFun a = (QuadraticModuleCat.Hom.toIsometry i.inv) a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- ModuleCat.carrierstatement and proof · cited by 997
- QuadraticMap.Isometrystatement · cited by 69
- QuadraticModuleCatstatement and proof · cited by 40
- QuadraticModuleCat.toModuleCatstatement and proof · cited by 32
- QuadraticModuleCat.formstatement · cited by 30
- LinearEquiv.invFunstatement and proof · cited by 29
- QuadraticMap.IsometryEquiv.toLinearEquivstatement and proof · cited by 24
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