Theorems · Theorem · real analysis
Real.log_ne_zero
∀ {x : ℝ}, Real.log x ≠ 0 ↔ x ≠ 0 ∧ x ≠ 1 ∧ x ≠ -1- Cited by
- 5 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
- Real.logstatement and proof · cited by 939
- Iff.notproof · cited by 489
- Real.log_eq_zeroproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Chebyshev.intervalIntegrable_one_div_log_sqproof · cited by 1
- Real.rpow_inv_logproof · cited by 1
- Real.mul_logbproof · cited by 0
- Real.logb_self_eq_one_iffproof · cited by 0
- Real.div_logbproof · cited by 0