Theorems · Theorem · commutative algebra
Ideal.subtype_rTensor_range
∀ {R : Type u_1} [inst : CommRing R] (M : Type u_2) [inst_1 : AddCommGroup M] [inst_2 : Module R M] (I : Ideal R),
(↑(TensorProduct.lid R M) ∘ₗ LinearMap.rTensor M (Submodule.subtype I)).range = I • ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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 and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapproof · cited by 10,215
- Top.topstatement and proof · cited by 9,680
- Submodulestatement and proof · cited by 7,192
- Idealstatement and proof · cited by 4,748
- TensorProductstatement and proof · cited by 2,545
- HasQuotient.Quotientproof · cited by 2,301
- LinearMap.compstatement and proof · cited by 1,642
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.ker_inf_smul_top_eq_smul_of_flatproof · cited by 1