Theorems · Theorem · number theory
padicValNat.div_of_dvd
∀ {p a b : ℕ} [hp : Fact (Nat.Prime p)], b ∣ a → padicValNat p (a / b) = padicValNat p a - padicValNat p b- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 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.
Cites10
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
- mul_commproof · cited by 2,262
- Nat.Primestatement and proof · cited by 2,059
- eq_or_neproof · cited by 1,117
- Ne.bot_ltproof · cited by 116
- padicValNatstatement and proof · cited by 106
- zero_tsubproof · cited by 100
- mul_ne_zero_iffproof · cited by 39
- padicValNat_zero_rightproof · cited by 12
- padicValNat.mulproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- sub_one_mul_padicValNat_choose_eq_sub_sum_digits'proof · cited by 1
- padicValNat.div_powproof · cited by 0
- padicValNat.divproof · cited by 0
- padicValNat.div'proof · cited by 0