Theorems · Theorem · real analysis
Real.floor_logb_natCast
∀ {b : ℕ} {r : ℝ}, 0 ≤ r → ⌊Real.logb (↑b) r⌋ = Int.log b r- Cited by
- 2 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
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
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- le_antisymmproof · cited by 2,068
- LT.lt.ne'proof · cited by 1,417
- zero_lt_oneproof · cited by 598
- LT.lt.transproof · cited by 370
- CharP.cast_eq_zeroproof · cited by 357
- Int.floorstatement and proof · cited by 225
- LE.le.eq_or_ltproof · cited by 220
- Real.logbstatement and proof · cited by 119
- Real.rpow_intCastproof · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- Real.natLog_le_logbproof · cited by 2
- Real.natFloor_logb_natCastproof · cited by 0