Theorems · Theorem · category theory
QuadraticModuleCat.toIsometry_tensorHom
∀ {R : Type u} [inst : CommRing R] [inst_1 : Invertible 2] {K L M N : QuadraticModuleCat R} (f : K ⟶ L) (g : M ⟶ N),
QuadraticModuleCat.Hom.toIsometry (CategoryTheory.MonoidalCategoryStruct.tensorHom f g) =
(QuadraticModuleCat.Hom.toIsometry f).tmul (QuadraticModuleCat.Hom.toIsometry g)- Cited by
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- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingInvertible
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- ModuleCat.carrierstatement · cited by 997
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement · cited by 587
- Invertiblestatement and proof · cited by 549
- QuadraticMap.Isometrystatement · cited by 69
- QuadraticModuleCatstatement and proof · cited by 40
- QuadraticModuleCat.toModuleCatstatement · cited by 32
- QuadraticModuleCat.formstatement · cited by 30
- QuadraticModuleCat.Hom.toIsometrystatement · cited by 18
- QuadraticMap.Isometry.tmulstatement · cited by 4
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