Theorems · Theorem · number theory
QuadraticForm.baseChange_tmul
∀ {R : Type uR} {A : Type uA} {M₂ : Type uM₂} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : AddCommGroup M₂]
[inst_3 : Algebra R A] [inst_4 : Module R M₂] [inst_5 : Invertible 2] (Q : QuadraticForm R M₂) (a : A) (m₂ : M₂),
(QuadraticForm.baseChange A Q) (a ⊗ₜ[R] m₂) = Q m₂ • (a * a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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- DFunLike.coestatement · 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
- Algebrastatement and proof · cited by 11,388
- TensorProductstatement · cited by 2,545
- TensorProduct.tmulstatement · cited by 1,182
- Invertiblestatement and proof · cited by 549
- QuadraticFormstatement and proof · cited by 507
- QuadraticMap.sqproof · cited by 24
- QuadraticForm.baseChangestatement · cited by 17
- QuadraticForm.tensorDistrib_tmulproof · cited by 3
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