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Theorems · Theorem · number theory

padicValNat_prime_prime_pow

∀ {p q : ℕ} [hp : Fact (Nat.Prime p)] [hq : Fact (Nat.Prime q)] (n : ℕ), p ≠ q → padicValNat p (q ^ n) = 0
Defined in
Mathlib.NumberTheory.Padics.PadicVal.Basic
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FactFact
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

padicValNat_mul_pow_left · cited by 1padicValNat_mul_pow_leftFact · cited by 2726FactMulZeroClass.mul_zero · cited by 2091MulZeroClass.mul_zeroNat.Prime · cited by 2059Nat.PrimepadicValNat · cited by 106padicValNatpadicValNat.pow · cited by 2padicValNat.powpadicValNat_primes · cited by 2padicValNat_primespadicValNat_prime_prime_powCITED BYCITES

Cites6

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Cited by1

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