Theorems · Theorem · commutative algebra
Module.Flat.top_mul_submoduleAlgebra
∀ {R : Type u} {M : Type v} {A : Type u_4} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
[inst_3 : Semiring A] [inst_4 : Algebra R A] (e : TensorProduct R A M ≃ₗ[A] A) [Module.Flat R M] [FaithfulSMul R A],
⊤ * Module.Flat.submoduleAlgebra e = ⊤- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · 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
- LinearMapproof · cited by 10,215
- RingHomproof · cited by 10,189
- Top.topstatement and proof · cited by 9,680
- Submodulestatement and proof · cited by 7,192
- LinearEquivstatement and proof · cited by 3,317
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.range_unitsToPicproof · cited by 4