Theorems · Inductive type · category theory
QuadraticModuleCat
(R : Type u) → [CommRing R] → Type (max u (v + 1))
The category of quadratic modules; modules with an associated quadratic form
- Cited by
- 40 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
Cited by62
Results whose statement or proof uses this declaration.
- QuadraticModuleCat.toModuleCatstatement and proof · cited by 32
- QuadraticModuleCat.formstatement and proof · cited by 30
- QuadraticModuleCat.Hom.toIsometrystatement and proof · cited by 18
- QuadraticModuleCat.Homstatement · cited by 6
- QuadraticModuleCat.ofstatement · cited by 5
- QuadraticModuleCat.ofIsostatement · cited by 5
- CategoryTheory.Iso.toIsometryEquivstatement and proof · cited by 5
- QuadraticModuleCat.Hom.extstatement and proof · cited by 2
- QuadraticModuleCat.Hom.toIsometry'statement and proof · cited by 2
- QuadraticModuleCat.cliffordAlgebrastatement and proof · cited by 2
- QuadraticModuleCat.ofHomstatement · cited by 2
- QuadraticModuleCat.Hom.mk.injstatement and proof · cited by 1