Theorems · Theorem · real analysis
Real.log_eq_zero
∀ {x : ℝ}, Real.log x = 0 ↔ x = 0 ∨ x = 1 ∨ x = -1- Cited by
- 2 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.
Cites9
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
- lt_trichotomyproof · cited by 178
- Real.log_oneproof · cited by 91
- Real.log_zeroproof · cited by 84
- neg_posproof · cited by 74
- neg_eq_iff_eq_negproof · cited by 60
- Real.log_neg_eq_logproof · cited by 27
- Real.eq_one_of_pos_of_log_eq_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.log_ne_zeroproof · cited by 5
- NumberField.Units.dirichletUnitTheorem.mult_log_place_eq_zeroproof · cited by 1