Theorems · Theorem · linear algebra
TensorProduct.rid_comm
∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_5} [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(x : TensorProduct R R M), (TensorProduct.rid R M) ((TensorProduct.comm R R M) x) = (TensorProduct.lid R M) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearEquivstatement and proof · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- TensorProduct.commstatement · cited by 108
- TensorProduct.lidstatement · cited by 96
- TensorProduct.ridstatement · cited by 63
- TensorProduct.comm_trans_ridproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- TensorProduct.commIsometry_trans_ridIsometryproof · cited by 0