Theorems · Theorem · number theory
PadicInt.appr_lt
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (x : ℤ_[p]) (n : ℕ), x.appr n < p ^ n- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 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.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- mul_oneproof · cited by 3,885
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Units.valproof · cited by 1,966
- le_of_ltproof · cited by 1,175
- map_mulproof · cited by 1,137
- pow_zeroproof · cited by 1,094
- map_powproof · cited by 503
- pow_succproof · cited by 374
- Fact.outproof · cited by 328
- PadicIntstatement and proof · cited by 179
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.ker_toZModPowproof · cited by 3
- PadicInt.totallyBounded_univproof · cited by 0