Theorems · Theorem · number theory
PadicInt.p_nonunit
∀ {p : ℕ} [hp : Fact (Nat.Prime p)], ↑p ∈ nonunits ℤ_[p]- Cited by
- 1 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realproof · cited by 25,697
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Fact.outproof · cited by 328
- PadicIntstatement · cited by 179
- Nat.Prime.one_ltproof · cited by 118
- nonunitsstatement · cited by 35
- inv_lt_one_of_one_lt₀proof · cited by 20
- PadicInt.mem_nonunitsproof · cited by 3
- PadicInt.norm_pproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.maximalIdeal_eq_span_pproof · cited by 6