Theorems · Theorem · linear algebra
LinearMap.BilinForm.IsSymm.baseChange
∀ {R : Type uR} (A : Type uA) {M₂ : Type uM₂} [inst : CommSemiring R] [inst_1 : CommSemiring A]
[inst_2 : AddCommMonoid M₂] [inst_3 : Algebra R A] [inst_4 : Module R M₂] {B₂ : LinearMap.BilinForm R M₂},
LinearMap.IsSymm B₂ → LinearMap.IsSymm (LinearMap.BilinForm.baseChange A B₂)The base change of a symmetric bilinear form is symmetric.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- TensorProductstatement · cited by 2,545
- mul_commproof · cited by 2,262
- LinearMap.BilinFormstatement and proof · cited by 501
- LinearMap.IsSymmstatement and proof · cited by 48
- LinearMap.BilinForm.baseChangestatement · cited by 7
- LinearMap.IsSymm.tmulproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.