Theorems · Definition · number theory
LinearMap.BilinMap.toQuadraticMapAddMonoidHom
(R : Type u_3) →
(M : Type u_4) →
{N : Type u_5} →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] →
[inst_2 : Module R M] →
[inst_3 : AddCommMonoid N] → [inst_4 : Module R N] → LinearMap.BilinMap R M N →+ QuadraticMap R M NLinearMap.BilinMap.toQuadraticMap as an additive homomorphism
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- AddMonoidHomstatement · cited by 3,230
- QuadraticMapstatement · cited by 262
- LinearMap.BilinMapstatement · cited by 85
- LinearMap.BilinMap.toQuadraticMapproof · cited by 53
- LinearMap.BilinMap.toQuadraticMap_addproof · cited by 0
- LinearMap.BilinMap.toQuadraticMap_zeroproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- LinearMap.BilinMap.toQuadraticMap_list_sumproof · cited by 0
- LinearMap.BilinMap.toQuadraticMap_multiset_sumproof · cited by 0
- LinearMap.BilinMap.toQuadraticMap_sumproof · cited by 0
- LinearMap.BilinMap.toQuadraticMapAddMonoidHom_applystatement and proof · cited by 0