Theorems · Theorem · number theory
PadicInt.isUnit_iff
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {z : ℤ_[p]}, IsUnit z ↔ ‖z‖ = 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 179 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- Factstatement and proof · cited by 2,726
- le_antisymmproof · cited by 2,068
- Nat.Primestatement and proof · cited by 2,059
- IsUnitstatement and proof · cited by 1,602
- norm_nonnegproof · cited by 725
- mul_le_mul_of_nonneg_leftproof · cited by 361
- PadicIntstatement and proof · cited by 179
- norm_mulproof · cited by 171
- NormOneClass.norm_oneproof · cited by 148
Cited by4
Results whose statement or proof uses this declaration.
- PadicInt.isUnit_denproof · cited by 3
- Padic.norm_rat_le_one_iff_padicValuation_le_oneproof · cited by 1
- PadicInt.norm_sub_modPart_auxproof · cited by 1
- PadicInt.norm_unitsproof · cited by 0