Theorems · Theorem · commutative algebra
ofNat_mem
∀ {S : Type u_1} {R : Type u_2} [inst : AddMonoidWithOne R] [inst_1 : SetLike S R] [AddSubmonoidWithOneClass S R]
(s : S) (n : ℕ) [inst_3 : n.AtLeastTwo], OfNat.ofNat n ∈ s- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
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.
- SetLikestatement and proof · cited by 1,084
- Nat.AtLeastTwostatement and proof · cited by 405
- AddMonoidWithOnestatement and proof · cited by 313
- Nat.cast_ofNatproof · cited by 28
- natCast_memproof · cited by 6
- AddSubmonoidWithOneClassstatement and proof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.