Theorems · Theorem · number theory
PadicInt.zmodRepr_eq_zero_of_dvd
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] {x : ℤ_[p]}, ↑p ∣ x → x.zmodRepr = 0- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 197 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- sub_zeroproof · cited by 938
- CharP.cast_eq_zeroproof · cited by 357
- Fact.outproof · cited by 328
- PadicIntstatement and proof · cited by 179
- Nat.Prime.posproof · cited by 83
- PadicInt.zmodReprstatement · cited by 21
- PadicInt.maximalIdeal_eq_span_pproof · cited by 6
- PadicInt.zmodRepr_uniqueproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.zmodRepr_eq_zero_iff_dvdproof · cited by 2
- PadicInt.zmodRepr_zeroproof · cited by 1