Theorems · Theorem · commutative algebra
Ideal.top_pow
∀ (R : Type u) [inst : Semiring R] (n : ℕ), ⊤ ^ n = ⊤
- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 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.
Cites7
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
- Submoduleproof · cited by 7,192
- Idealstatement and proof · cited by 4,748
- Ideal.one_eq_topproof · cited by 83
- Ideal.top_mulproof · cited by 10
- Submodule.pow_succproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- IsHausdorff.subsingletonproof · cited by 3
- Ideal.pow_eq_top_iffproof · cited by 1