Theorems · Theorem · number theory
padicValRat.pow
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (q : ℚ) {k : ℕ}, padicValRat p (q ^ k) = ↑k * padicValRat p qA rewrite lemma for padicValRat p (q^k).
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 79 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- MulZeroClass.zero_mulproof · cited by 1,625
- add_commproof · cited by 1,535
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- Nat.cast_addproof · cited by 586
- add_mulproof · cited by 363
Cited by4
Results whose statement or proof uses this declaration.
- padicValNat.powproof · cited by 2
- padicValRat.zpowproof · cited by 0
- Rat.surjective_padicValuationproof · cited by 0
- padicValRat.self_pow_invproof · cited by 0