Theorems · Theorem · number theory
PadicInt.ideal_eq_span_pow_p
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {s : Ideal ℤ_[p]}, s ≠ ⊥ → ∃ n, s = Ideal.span {↑p ^ n}- Cited by
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- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Idealstatement and proof · cited by 4,748
- Bot.botstatement and proof · cited by 4,720
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Ideal.spanstatement · cited by 948
- PadicIntstatement and proof · cited by 179
- PadicInt.irreducible_pproof · cited by 3
- IsDiscreteValuationRing.ideal_eq_span_pow_irreducibleproof · cited by 1
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