Theorems · Theorem · ring theory
SetLike.homogeneous_zero_submodule
∀ {ι : Type u_1} {S : Type u_3} {R : Type u_4} [Zero ι] [inst : Semiring S] [inst_1 : AddCommMonoid R]
[inst_2 : Module S R] (A : ι → Submodule S R), SetLike.IsHomogeneousElem A 0- Defined in
- Mathlib.Algebra.DirectSum.Internal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Submodulestatement and proof · cited by 7,192
- Submodule.zero_memproof · cited by 58
- SetLike.IsHomogeneousElemstatement · cited by 18
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.