Theorems · Theorem · ring theory
SetLike.one_mem_graded
∀ {ι : Type u_1} {R : Type u_2} {S : Type u_3} [inst : SetLike S R] [inst_1 : One R] [inst_2 : Zero ι] (A : ι → S)
[SetLike.GradedOne A], 1 ∈ A 0- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement and proof · cited by 1,084
- SetLike.GradedOnestatement and proof · cited by 7
- SetLike.GradedOne.one_memproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- SetLike.algebraMap_mem_gradedproof · cited by 2
- SetLike.natCast_mem_gradedproof · cited by 1
- SetLike.isHomogeneousElem_oneproof · cited by 0