Theorems · Theorem · real analysis
Real.le_logb_iff_rpow_le
∀ {b x y : ℝ}, 1 < b → 0 < y → (x ≤ Real.logb b y ↔ b ^ x ≤ y)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Real.logbstatement · cited by 119
- Real.rpow_logbproof · cited by 15
- Real.rpow_le_rpow_left_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Real.floor_logb_natCastproof · cited by 2