Theorems · Theorem · number theory
padicValRat.multiplicity_sub_multiplicity
∀ {p : ℕ} {q : ℚ}, p ≠ 1 → q ≠ 0 → padicValRat p q = ↑(multiplicity (↑p) q.num) - ↑(multiplicity p q.den)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- multiplicitystatement and proof · cited by 117
- padicValNatproof · cited by 106
- padicValRatstatement · cited by 49
- Rat.den_ne_zeroproof · cited by 9
- padicValNat_def'proof · cited by 6
- Rat.num_ne_zeroproof · cited by 5
- padicValInt.of_ne_one_ne_zeroproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- padicValRat.defnproof · cited by 2