Theorems · Theorem · real analysis
Real.natLog_le_logb
∀ (a b : ℕ), ↑(Nat.log b a) ≤ Real.logb ↑b ↑a
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Realstatement and proof · cited by 25,697
- le_reflproof · cited by 2,061
- le_transproof · cited by 985
- Int.cast_natCastproof · cited by 393
- Real.logbstatement and proof · cited by 119
- Nat.cast_nonnegproof · cited by 109
- Nat.logstatement and proof · cited by 101
- Int.floor_leproof · cited by 30
- Int.log_natCastproof · cited by 3
- Real.floor_logb_natCastproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.log2_le_logbproof · cited by 0
- Rat.AbsoluteValue.one_lt_of_not_boundedproof · cited by 0