Theorems · Theorem · number theory
QuadraticMap.toQuadraticMap_associated
∀ (S : Type u_1) {R : Type u_3} {M : Type u_4} {N : Type u_5} [inst : CommRing R] [inst_1 : AddCommGroup M]
[inst_2 : Module R M] [inst_3 : AddCommGroup N] [inst_4 : Module R N] [inst_5 : CommSemiring S] [inst_6 : Algebra S R]
[inst_7 : Module S N] [inst_8 : IsScalarTower S R N] [inst_9 : Invertible 2] (Q : QuadraticMap R M N),
((QuadraticMap.associatedHom S) Q).toQuadraticMap = Q- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- IsScalarTowerstatement and proof · cited by 3,896
- Module.Endstatement · cited by 774
- Invertiblestatement and proof · cited by 549
- QuadraticMapstatement and proof · cited by 262
Cited by4
Results whose statement or proof uses this declaration.
- QuadraticMap.associated_rightInverseproof · cited by 4
- QuadraticForm.posDef_of_toMatrix'proof · cited by 0
- QuadraticForm.posDef_toMatrix'proof · cited by 0
- CliffordAlgebra.changeForm.associated_neg_proofproof · cited by 0