Theorems · Theorem · linear algebra
TensorProduct.lift_mk
∀ {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.lift (TensorProduct.mk R M N) = LinearMap.id- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 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.
- 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.idstatement · cited by 625
- TensorProduct.mkstatement · cited by 129
- TensorProduct.liftstatement · cited by 59
- TensorProduct.lift.uniqueproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- TensorProduct.lift_mk_compr₂ₛₗproof · cited by 1
- TensorProduct.lift_mk_compr₂proof · cited by 0