Theorems · Theorem · commutative algebra
Submodule.map_range_rTensor_subtype_lid
∀ {R : Type u_1} {Q : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid Q] [inst_2 : Module R Q]
{I : Submodule R R}, Submodule.map (↑(TensorProduct.lid R Q)) (LinearMap.rTensor Q I.subtype).range = I • ⊤- Defined in
- Mathlib.RingTheory.TensorProduct.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Top.topstatement and proof · cited by 9,680
- Submodulestatement and proof · cited by 7,192
- TensorProductstatement and proof · cited by 2,545
- le_antisymmproof · cited by 2,068
- LinearMap.compproof · cited by 1,642
- map_zeroproof · cited by 1,614
- TensorProduct.tmulproof · cited by 1,182
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.ker_tensorProductMkproof · cited by 0