Theorems · Theorem · number theory
PadicInt.dvd_appr_sub_appr
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (x : ℤ_[p]) (m n : ℕ), m ≤ n → p ^ m ∣ x.appr n - x.appr m- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.Primestatement and proof · cited by 2,059
- Units.valproof · cited by 1,966
- add_commproof · cited by 1,535
- add_assocproof · cited by 746
- PadicIntstatement and proof · cited by 179
- ZMod.valproof · cited by 159
- pow_dvd_powproof · cited by 56
- tsub_eq_zero_of_leproof · cited by 26
- dvd_mul_of_dvd_leftproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.zmod_cast_comp_toZModPowproof · cited by 4