Theorems · Theorem · number theory
QuadraticForm.comp_tensorLId_eq
∀ {R : Type uR} {M₂ : Type uM₂} [inst : CommRing R] [inst_1 : AddCommGroup M₂] [inst_2 : Module R M₂]
[inst_3 : Invertible 2] (Q₂ : QuadraticForm R M₂),
QuadraticMap.comp Q₂ ↑(TensorProduct.lid R M₂) = QuadraticForm.tmul QuadraticMap.sq Q₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- TensorProductstatement · cited by 2,545
- one_smulproof · cited by 1,374
- LinearEquiv.toLinearMapstatement · cited by 1,171
- Invertiblestatement and proof · cited by 549
- QuadraticFormstatement and proof · cited by 507
- QuadraticMapstatement · cited by 262
Cited by1
Results whose statement or proof uses this declaration.
- QuadraticForm.tmul_tensorLId_applyproof · cited by 0