Theorems · Theorem · number theory
PadicInt.zmodRepr_units_ne_zero
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (x : ℤ_[p]ˣ), (↑x).zmodRepr ≠ 0- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 199 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.
- Unitsstatement and proof · cited by 2,804
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Units.valstatement and proof · cited by 1,966
- PadicIntstatement and proof · cited by 179
- Units.isUnitproof · cited by 116
- PadicInt.zmodReprstatement and proof · cited by 21
- PadicInt.irreducible_pproof · cited by 3
- Irreducible.not_dvd_isUnitproof · cited by 3
- PadicInt.zmodRepr_eq_zero_iff_dvdproof · cited by 2
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