Theorems · Definition · category theory
QuadraticModuleCat.mk.noConfusion
{R : Type u} →
{inst : CommRing R} →
{P : Sort u_1} →
{toModuleCat : ModuleCat R} →
{form : QuadraticForm R ↑toModuleCat} →
{toModuleCat' : ModuleCat R} →
{form' : QuadraticForm R ↑toModuleCat'} →
{ toModuleCat := toModuleCat, form := form } = { toModuleCat := toModuleCat', form := form' } →
(toModuleCat ≍ toModuleCat' → form ≍ form' → P) → P- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierstatement and proof · cited by 997
- QuadraticFormstatement and proof · cited by 507
- QuadraticModuleCatstatement · cited by 40
- QuadraticModuleCat.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- QuadraticModuleCat.mk.injproof · cited by 1