Theorems · Theorem · category theory
CategoryTheory.Iso.toIsometryEquiv_trans
∀ {R : Type u} [inst : CommRing R] {X Y Z : QuadraticModuleCat R} (e : X ≅ Y) (f : Y ≅ Z),
(e ≪≫ f).toIsometryEquiv = e.toIsometryEquiv.trans f.toIsometryEquiv- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Isostatement and proof · cited by 3,963
- ModuleCat.carrierstatement · cited by 997
- CategoryTheory.Iso.transstatement · cited by 566
- QuadraticMap.IsometryEquivstatement · cited by 49
- QuadraticModuleCatstatement and proof · cited by 40
- QuadraticModuleCat.toModuleCatstatement · cited by 32
- QuadraticModuleCat.formstatement · cited by 30
- QuadraticMap.IsometryEquiv.transstatement · cited by 7
- CategoryTheory.Iso.toIsometryEquivstatement · cited by 5
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