Theorems · Theorem · category theory
QuadraticModuleCat.mk.inj
∀ {R : Type u} {inst : CommRing R} {toModuleCat : ModuleCat R} {form : QuadraticForm R ↑toModuleCat}
{toModuleCat_1 : ModuleCat R} {form_1 : QuadraticForm R ↑toModuleCat_1},
{ toModuleCat := toModuleCat, form := form } = { toModuleCat := toModuleCat_1, form := form_1 } →
toModuleCat = toModuleCat_1 ∧ form ≍ form_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 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.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- QuadraticModuleCat.mk.injEqproof · cited by 0