Theorems · Theorem · ring theory
SetLike.natCast_mem_graded
∀ {ι : Type u_1} {σ : Type u_2} {R : Type u_4} [inst : Zero ι] [inst_1 : AddMonoidWithOne R] [inst_2 : SetLike σ R]
[AddSubmonoidClass σ R] (A : ι → σ) [SetLike.GradedOne A] (n : ℕ), ↑n ∈ A 0- Defined in
- Mathlib.Algebra.DirectSum.Internal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_zeroproof · cited by 1,870
- SetLikestatement and proof · cited by 1,084
- AddSubmonoidClassstatement and proof · cited by 346
- AddMonoidWithOnestatement and proof · cited by 313
- AddMemClass.add_memproof · cited by 229
- ZeroMemClass.zero_memproof · cited by 162
- Nat.cast_succproof · cited by 99
- SetLike.GradedOnestatement and proof · cited by 7
- SetLike.one_mem_gradedproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- SetLike.intCast_mem_gradedproof · cited by 0