Theorems · Theorem · category theory
QuadraticModuleCat.toIsometry_whiskerRight
∀ {R : Type u} [inst : CommRing R] [inst_1 : Invertible 2] {L M : QuadraticModuleCat R} (f : L ⟶ M)
(N : QuadraticModuleCat R),
QuadraticModuleCat.Hom.toIsometry (CategoryTheory.MonoidalCategoryStruct.whiskerRight f N) =
(QuadraticModuleCat.Hom.toIsometry f).tmul (QuadraticMap.Isometry.id N.form)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingInvertible
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Cites13
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.whiskerRightstatement · cited by 903
- 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.idstatement · cited by 11
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