Theorems · Theorem · linear algebra
TensorProduct.comm_comm
∀ (R : Type u_1) [inst : CommSemiring R] (M : Type u_7) (N : Type u_8) [inst_1 : AddCommMonoid M] [inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N] (x : TensorProduct R N M), (TensorProduct.comm R M N) ((TensorProduct.comm R N M) x) = x
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.comm_trans_commproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.lTensor_comp_commIsometryproof · cited by 0
- ContinuousLinearMap.commIsometry_comp_rTensor_comp_commIsometry_eqproof · cited by 0
- ContinuousLinearMap.rTensor_comp_commIsometryproof · cited by 0
- LinearMap.intrinsicStar_convMulproof · cited by 0