Theorems · Theorem · number theory
PadicInt.norm_sub_modPart_aux
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (r : ℚ), ‖↑r‖ ≤ 1 → ↑p ∣ r.num - r.num * r.den.gcdA p % ↑p * ↑r.den- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 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.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- mul_assocproof · cited by 1,667
- MulZeroClass.zero_mulproof · cited by 1,625
- ZModproof · cited by 1,024
- sub_selfproof · cited by 996
- Int.cast_natCastproof · cited by 393
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.norm_sub_modPartproof · cited by 1