Theorems · Theorem · linear algebra
LinearMap.BilinForm.baseChange_tmul
∀ {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) (a : A)
(m₂ : M₂) (a' : A) (m₂' : M₂),
((LinearMap.BilinForm.baseChange A B₂) (a ⊗ₜ[R] m₂)) (a' ⊗ₜ[R] m₂') = (B₂ m₂) m₂' • (a * a')- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Quot.sound
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- 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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- TensorProductstatement · cited by 2,545
- TensorProduct.tmulstatement · cited by 1,182
- LinearMap.BilinFormstatement and proof · cited by 501
- LinearMap.BilinForm.baseChangestatement · cited by 7
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