Theorems · Theorem · number theory
QuadraticForm.comp_tensorRId_eq
∀ {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),
QuadraticMap.comp Q₁ ↑(TensorProduct.rid R M₁) = Q₁.tmul QuadraticMap.sq- 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.
Cites35
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 · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- TensorProductstatement · cited by 2,545
- one_smulproof · cited by 1,374
- TensorProduct.tmulproof · cited by 1,182
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- LinearMap.extproof · cited by 844
Cited by1
Results whose statement or proof uses this declaration.
- QuadraticForm.tmul_tensorRId_applyproof · cited by 0