Theorems · Theorem · real analysis
Real.logb_le_iff_le_rpow_of_base_lt_one
∀ {b x y : ℝ}, 0 < b → b < 1 → 0 < x → (Real.logb b x ≤ y ↔ b ^ y ≤ x)- 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_iff_of_base_lt_oneproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Real.tendsto_logb_atTop_of_base_lt_oneproof · cited by 0