Theorems · Definition · linear algebra
LinearMap.BilinForm.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] → LinearMap.BilinForm R M₂ → LinearMap.BilinForm A (TensorProduct R A M₂)The base change of a bilinear form.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- 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
- LinearMap.BilinFormstatement and proof · cited by 501
- LinearMap.mulproof · cited by 61
- LinearMap.BilinForm.tmulproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- LinearMap.BilinForm.baseChange_zerostatement and proof · cited by 1
- LieModule.traceForm_baseChangestatement and proof · cited by 1
- LinearMap.BilinForm.baseChange_eq_zero_iffstatement and proof · cited by 0
- LinearMap.BilinForm.baseChange_tmulstatement · cited by 0
- QuadraticForm.associated_baseChangestatement and proof · cited by 0
- QuadraticForm.polarBilin_baseChangestatement and proof · cited by 0
- LinearMap.BilinForm.IsSymm.baseChangestatement · cited by 0