Theorems · Theorem · number theory
PadicInt.modPart_lt_p
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (r : ℚ), PadicInt.modPart p r < ↑p- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 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.
Cites10
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
- absproof · cited by 1,814
- Fact.outproof · cited by 328
- Nat.Prime.ne_zeroproof · cited by 109
- Nat.abs_castproof · cited by 36
- Nat.gcdAproof · cited by 23
- Int.emod_lt_absproof · cited by 10
- PadicInt.modPartstatement and proof · 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