Theorems · Theorem · number theory
QuadraticForm.tmul_comp_tensorComm
∀ {R : Type uR} {M₁ : Type uM₁} {M₂ : Type uM₂} [inst : CommRing R] [inst_1 : AddCommGroup M₁]
[inst_2 : AddCommGroup M₂] [inst_3 : Module R M₁] [inst_4 : Module R M₂] [inst_5 : Invertible 2]
(Q₁ : QuadraticForm R M₁) (Q₂ : QuadraticForm R M₂),
QuadraticMap.comp (Q₂.tmul Q₁) ↑(TensorProduct.comm R M₁ M₂) = Q₁.tmul Q₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- TensorProductstatement and proof · cited by 2,545
- mul_commproof · cited by 2,262
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- LinearMap.extproof · cited by 844
- Invertiblestatement and proof · cited by 549
- QuadraticFormstatement and proof · cited by 507
Cited by1
Results whose statement or proof uses this declaration.
- QuadraticForm.tmul_tensorComm_applyproof · cited by 0