padicValRat.mul

∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {q r : ℚ}, q ≠ 0 → r ≠ 0 → padicValRat p (q * r) = padicValRat p q + padicValRat p r

A rewrite lemma for padicValRat p (q * r) with conditions q ≠ 0, r ≠ 0.

Defined in: Mathlib.NumberTheory.Padics.PadicVal.Basic
Cited by: 5 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fact

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