Theorems · Theorem · real analysis
Real.log_of_ne_zero
∀ {x : ℝ} (hx : x ≠ 0), Real.log x = Real.expOrderIso.symm ⟨|x|, ⋯⟩- Cited by
- 3 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement · cited by 7,166
- absstatement · cited by 1,814
- Set.Ioistatement · cited by 1,463
- Real.logstatement · cited by 939
- OrderIsostatement · cited by 874
- OrderIso.symmstatement · cited by 475
- abs_posstatement · cited by 45
- Real.expOrderIsostatement · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- Real.continuousOn_logproof · cited by 17
- Real.exp_log_eq_absproof · cited by 7
- Real.log_of_posproof · cited by 0