Theorems · Theorem · number theory
padicValNat_mul_pow_left
∀ {p q : ℕ} [hp : Fact (Nat.Prime p)] [hq : Fact (Nat.Prime q)] (n m : ℕ), p ≠ q → padicValNat p (p ^ n * q ^ m) = n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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.
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.Primestatement and proof · cited by 2,059
- padicValNatstatement and proof · cited by 106
- padicValNat.mulproof · cited by 6
- padicValNat.prime_powproof · cited by 3
- padicValNat_prime_prime_powproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- padicValNat_mul_pow_rightproof · cited by 0