Theorems · Theorem · linear algebra
TensorProduct.comm_trans_rid
∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_5} [inst_1 : AddCommMonoid M] [inst_2 : Module R M],
TensorProduct.comm R R M ≪≫ₗ TensorProduct.rid R M = TensorProduct.lid R M- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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 · cited by 2,545
- LinearEquiv.toLinearMapproof · cited by 1,171
- LinearMap.extproof · cited by 844
- LinearEquiv.transstatement and proof · cited by 298
- LinearMap.ext_ringproof · cited by 152
- TensorProduct.mkproof · cited by 129
Cited by1
Results whose statement or proof uses this declaration.
- TensorProduct.rid_commproof · cited by 1