Theorems · Theorem · real analysis
Real.logb_nonneg_iff
∀ {b x : ℝ}, 1 < b → 0 < x → (0 ≤ Real.logb b x ↔ 1 ≤ x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 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
- not_ltproof · cited by 306
- Real.logbstatement · cited by 119
- Real.logb_neg_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.logb_nonnegproof · cited by 4