Theorems · Theorem · commutative algebra
Ideal.natCast_eq_top
∀ {R : Type u} [inst : Semiring R] {n : ℕ}, n ≠ 0 → ↑n = ⊤- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Top.topstatement and proof · cited by 9,680
- Idealstatement and proof · cited by 4,748
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_succproof · cited by 99
- Ideal.one_eq_topproof · cited by 83
- top_sup_eqproof · cited by 8
- Ideal.add_eq_supproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.ofNat_eq_topproof · cited by 0