Theorems · Theorem · real analysis
Real.ceil_logb_natCast
∀ {b : ℕ} {r : ℝ}, 0 ≤ r → ⌈Real.logb (↑b) r⌉ = Int.clog b r- Cited by
- 1 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.
Cites30
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
- LE.le.eq_or_ltproof · cited by 220
- Eq.trans_leproof · cited by 155
- Int.ceilstatement and proof · cited by 138
- Real.logbstatement and proof · cited by 119
Cited by1
Results whose statement or proof uses this declaration.
- Real.natCeil_logb_natCastproof · cited by 0