Theorems · Theorem · number theory
Nat.max_log_padicValNat_succ_eq_log_succ
∀ {p : ℕ} (n : ℕ) [hp : Fact (Nat.Prime p)], max (Nat.log p n) (padicValNat p (n + 1)) = Nat.log p (n + 1)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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.
Cites17
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
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Nat.Primestatement and proof · cited by 2,059
- Fact.outproof · cited by 328
- not_leproof · cited by 328
- Nat.Prime.one_ltproof · cited by 118
- padicValNatstatement and proof · cited by 106
- Nat.logstatement and proof · cited by 101
- max_leproof · cited by 71
- le_max_iffproof · cited by 26
- Nat.pow_log_le_selfproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- padicValRat_two_harmonicproof · cited by 2