Theorems · Theorem · number theory
QuadraticForm.tmul_tensorRId_apply
∀ {R : Type uR} {M₁ : Type uM₁} [inst : CommRing R] [inst_1 : AddCommGroup M₁] [inst_2 : Module R M₁]
[inst_3 : Invertible 2] (Q₁ : QuadraticForm R M₁) (x : TensorProduct R M₁ R),
Q₁ ((TensorProduct.rid R M₁) x) = (Q₁.tmul QuadraticMap.sq) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- LinearEquivstatement · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- Invertiblestatement and proof · cited by 549
- QuadraticFormstatement and proof · cited by 507
- DFunLike.congr_funproof · cited by 288
- TensorProduct.ridstatement · cited by 63
- QuadraticForm.tmulstatement · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- QuadraticForm.tensorRIdproof · cited by 5