Theorems · Theorem · number theory
PadicInt.appr_spec
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (n : ℕ) (x : ℤ_[p]), x - ↑(x.appr n) ∈ Ideal.span {↑p ^ n}- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 4 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.
Cites53
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Idealstatement and proof · cited by 4,748
- mul_oneproof · cited by 3,885
- Unitsproof · cited by 2,804
- Factstatement and proof · cited by 2,726
- mul_commproof · cited by 2,262
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.Primestatement and proof · cited by 2,059
- Units.valproof · cited by 1,966
- Nat.cast_zeroproof · cited by 1,870
- map_mulproof · cited by 1,137
Cited by4
Results whose statement or proof uses this declaration.
- PadicInt.denseRange_natCastproof · cited by 4
- PadicInt.ker_toZModPowproof · cited by 3
- PadicInt.toZModPow_ofIntSeq_of_pow_dvd_subproof · cited by 1
- PadicInt.totallyBounded_univproof · cited by 0