Theorems · Theorem · number theory
padicValRat.div
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {q r : ℚ}, q ≠ 0 → r ≠ 0 → padicValRat p (q / r) = padicValRat p q - padicValRat p rA rewrite lemma for padicValRat p (q / r) with conditions q ≠ 0, r ≠ 0.
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- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- sub_eq_add_negproof · cited by 1,023
- div_eq_mul_invproof · cited by 715
- inv_ne_zeroproof · cited by 99
- padicValRatstatement and proof · cited by 49
- padicValRat.invproof · cited by 5
- padicValRat.mulproof · cited by 5
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