Theorems · Theorem · number theory
LinearMap.BilinMap.toQuadraticMap_apply
∀ {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] (B : LinearMap.BilinMap R M N) (x : M), B.toQuadraticMap x = (B x) x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- QuadraticMapstatement · cited by 262
- LinearMap.BilinMapstatement and proof · cited by 85
- LinearMap.BilinMap.toQuadraticMapstatement · cited by 53
Cited by2
Results whose statement or proof uses this declaration.
- QuadraticMap.toQuadraticMap_toBilinproof · cited by 1
- LinearMap.BilinForm.posDef_toQuadraticMap_iff_matrixproof · cited by 1