Theorems · Theorem · real analysis
Real.lt_log_of_rpow_lt
∀ {x y z : ℝ}, 0 < x → x ^ z < y → z * Real.log x < Real.log y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.logstatement · cited by 939
- Real.rpow_pos_of_posproof · cited by 155
- Real.log_rpowproof · cited by 31
- Real.log_lt_logproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Real.lt_log_of_pow_ltproof · cited by 0
- Real.lt_log_of_zpow_ltproof · cited by 0