Theorems · Theorem · number theory
PadicInt.modPart_nonneg
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (r : ℚ), 0 ≤ PadicInt.modPart p r- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Nat.cast_zeroproof · cited by 1,870
- Fact.outproof · cited by 328
- Nat.Prime.ne_zeroproof · cited by 109
- Nat.gcdAproof · cited by 23
- PadicInt.modPartstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.exists_mem_range_of_norm_rat_le_oneproof · cited by 1