Theorems · Theorem · number theory
Nat.log_anti_left
∀ {b c n : ℕ}, 1 < c → c ≤ b → Nat.log b n ≤ Nat.log c n- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_reflproof · cited by 2,061
- eq_or_neproof · cited by 1,117
- Nat.logstatement and proof · cited by 101
- Nat.log_zero_rightproof · cited by 18
- Nat.pow_log_le_selfproof · cited by 9
- Nat.le_log_of_pow_leproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Nat.log_monoproof · cited by 1
- Nat.log_antitone_leftproof · cited by 0