Theorems · Theorem · linear algebra
TensorProduct.AlgebraTensorModule.coe_lTensor
∀ {R : Type uR} {A : Type uA} {M : Type uM} {N : Type uN} {Q : Type uQ} [inst : CommSemiring R] [inst_1 : Semiring A]
[inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : Module R M] [inst_5 : Module A M]
[inst_6 : IsScalarTower R A M] [inst_7 : AddCommMonoid N] [inst_8 : Module R N] [inst_9 : AddCommMonoid Q]
[inst_10 : Module R Q] (f : N →ₗ[R] Q),
⇑((TensorProduct.AlgebraTensorModule.lTensor A M) f) = ⇑(LinearMap.lTensor M f)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- IsScalarTowerstatement and proof · cited by 3,896
- TensorProductstatement · cited by 2,545
- LinearMap.lTensorstatement · cited by 203
- TensorProduct.AlgebraTensorModule.lTensorstatement · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- Module.Flat.transproof · cited by 9
- Module.flat_of_isLocalized_maximalproof · cited by 2
- Module.flat_of_isLocalized_spanproof · cited by 2