Theorems · Theorem · number theory
QuadraticForm.toMatrix_smul
∀ {R : Type u_3} {N : Type u_5} {n : Type w} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R]
[inst_3 : Invertible 2] [inst_4 : AddCommGroup N] [inst_5 : Module R N] (b : Module.Basis n R N) (a : R)
(Q : QuadraticForm R N), QuadraticForm.toMatrix b (a • Q) = a • QuadraticForm.toMatrix b Q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Module.Basisstatement and proof · cited by 1,477
- map_smulproof · cited by 566
- Invertiblestatement and proof · cited by 549
- QuadraticFormstatement and proof · cited by 507
- LinearMap.toMatrix₂proof · cited by 43
- QuadraticMap.associatedproof · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- QuadraticForm.discr_smulproof · cited by 0