Theorems · Theorem · number theory
PadicInt.mem_nonunits
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {z : ℤ_[p]}, z ∈ nonunits ℤ_[p] ↔ ‖z‖ < 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 181 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Norm.normstatement and proof · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- PadicIntstatement and proof · cited by 179
- nonunitsstatement · cited by 35
- PadicInt.norm_le_oneproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- PadicInt.norm_sub_zmodRepr_lt_oneproof · cited by 2
- PadicInt.p_nonunitproof · cited by 1
- PadicInt.not_isUnit_iffproof · cited by 0