Mathlib Map

Theorems · Inductive type · category theory

QuadraticModuleCat.Hom

{R : Type u} → [inst : CommRing R] → QuadraticModuleCat R → QuadraticModuleCat R → Type v

A type alias for QuadraticForm.LinearIsometry to avoid confusion between the categorical and algebraic spellings of composition.

Defined in
Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat
Cited by
6 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
CommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

QuadraticModuleCat.Hom.toIsometry · cited by 18Hom.toIsometryQuadraticModuleCat.Hom.ext · cited by 2Hom.extQuadraticModuleCat.Hom.toIsometry' · cited by 2Hom.toIsometry'QuadraticModuleCat.Hom.mk.inj · cited by 1mk.injQuadraticModuleCat.Hom.mk.noConfusion · cited by 1mk.noConfusionQuadraticModuleCat.Hom.casesOn · cited by 0Hom.casesOnQuadraticModuleCat.Hom.ctorIdx · cited by 0Hom.ctorIdxQuadraticModuleCat.Hom.ext_iff · cited by 0Hom.ext_iffQuadraticModuleCat.Hom.noConfusion · cited by 0Hom.noConfusionQuadraticModuleCat.Hom.noConfusionType · cited by 0Hom.noConfusionTypeQuadraticModuleCat.Hom.mk.sizeOf_spec · cited by 0mk.sizeOf_specQuadraticModuleCat.Hom.mk.injEq · cited by 0mk.injEqQuadraticModuleCat.Hom.recOn · cited by 0Hom.recOnQuadraticModuleCat.Hom.toIsometry_injective · cited by 0Hom.toIsometry_injectiveCommRing · cited by 17173CommRingQuadraticModuleCat · cited by 40QuadraticModuleCatQuadraticModuleCat.HomCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by14

Results whose statement or proof uses this declaration.