Theorems · Definition · category theory
QuadraticModuleCat.of
{R : Type u} →
[inst : CommRing R] →
{X : Type v} → [inst_1 : AddCommGroup X] → [inst_2 : Module R X] → QuadraticForm R X → QuadraticModuleCat RThe object in the category of quadratic R-modules associated to a quadratic R-module.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- ModuleCatproof · cited by 1,429
- ModuleCat.ofproof · cited by 594
- QuadraticFormstatement and proof · cited by 507
- QuadraticModuleCatstatement · cited by 40
Cited by7
Results whose statement or proof uses this declaration.
- QuadraticModuleCat.ofIsostatement · cited by 5
- QuadraticModuleCat.ofHomstatement · cited by 2
- QuadraticModuleCat.ofIso_homstatement · cited by 0
- QuadraticModuleCat.ofIso_invstatement · cited by 0
- QuadraticModuleCat.ofIso_reflstatement · cited by 0
- QuadraticModuleCat.ofIso_symmstatement · cited by 0
- QuadraticModuleCat.ofIso_transstatement · cited by 0