Theorems · Theorem · real analysis
Real.log_ne_zero_of_pos_of_ne_one
∀ {x : ℝ}, 0 < x → x ≠ 1 → Real.log x ≠ 0- Cited by
- 5 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.eq_one_of_pos_of_log_eq_zeroproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- AkraBazziRecurrence.differentiableAt_smoothingFnproof · cited by 8
- Real.logb_rpowproof · cited by 5
- Chebyshev.primeCounting_eq_theta_div_log_add_integralproof · cited by 2
- AkraBazziRecurrence.isTheta_smoothingFn_sub_selfproof · cited by 2
- Real.rpow_logb_eq_absproof · cited by 2