Theorems · Theorem · linear algebra
TensorProduct.comm_trans_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], TensorProduct.comm R N M ≪≫ₗ TensorProduct.comm R M N = LinearEquiv.refl R (TensorProduct R N M)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearEquivstatement · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- LinearEquiv.toLinearMapproof · cited by 1,171
- LinearMap.extproof · cited by 844
- LinearEquiv.transstatement and proof · cited by 298
- LinearEquiv.reflstatement and proof · cited by 143
- TensorProduct.mkproof · cited by 129
Cited by2
Results whose statement or proof uses this declaration.
- TensorProduct.comm_commproof · cited by 4
- TensorProduct.comm_comp_commproof · cited by 1