Theorems · Theorem · number theory
QuadraticForm.associated_baseChange
∀ {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] [inst_6 : Invertible 2]
(Q : QuadraticForm R M₂),
QuadraticMap.associated (QuadraticForm.baseChange A Q) = LinearMap.BilinForm.baseChange A (QuadraticMap.associated Q)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- TensorProductstatement and proof · cited by 2,545
- Invertiblestatement and proof · cited by 549
- QuadraticFormstatement and proof · cited by 507
- QuadraticMapstatement · cited by 262
- LinearMap.BilinMapstatement and proof · cited by 85
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