Theorems · Theorem · linear algebra
TensorProduct.lid_symm_apply
∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_5} [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (m : M),
(TensorProduct.lid R M).symm m = 1 ⊗ₜ[R] m- Cited by
- 3 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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.symmstatement · cited by 1,461
- TensorProduct.tmulstatement · cited by 1,182
- TensorProduct.lidstatement · cited by 96
Cited by3
Results whose statement or proof uses this declaration.
- SemimoduleCat.MonoidalCategory.leftUnitor_inv_applyproof · cited by 0
- ModuleCat.MonoidalCategory.leftUnitor_inv_applyproof · cited by 0
- contractLeft_assoc_coevaluationproof · cited by 0