Theorems · Theorem · ring theory
SetLike.GradedOne.one_mem
∀ {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}
[self : SetLike.GradedOne A], 1 ∈ A 0One has grade zero
- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- SetLike.GradedOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
Cited by1
Results whose statement or proof uses this declaration.
- SetLike.one_mem_gradedproof · cited by 5