Theorems · Theorem · linear algebra
TensorProduct.comm_comp_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) = LinearMap.id
- Cited by
- 1 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- LinearMapstatement · cited by 10,215
- TensorProductstatement · cited by 2,545
- LinearMap.compstatement · cited by 1,642
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- LinearMap.idstatement and proof · cited by 625
- TensorProduct.commstatement · cited by 108
- TensorProduct.comm_trans_commproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- TensorProduct.comm_comp_comm_assocproof · cited by 0