Theorems · Theorem · real analysis
Real.continuousAt_log
∀ {x : ℝ}, x ≠ 0 → ContinuousAt Real.log x- Cited by
- 7 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ContinuousAtstatement · cited by 697
- IsOpen.mem_nhdsproof · cited by 470
- isOpen_compl_singletonproof · cited by 27
- Real.continuousOn_logproof · cited by 17
- ContinuousWithinAt.continuousAtproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- Real.continuous_mul_logproof · cited by 9
- Filter.Tendsto.logproof · cited by 3
- Real.continuousAt_log_iffproof · cited by 2
- Real.continuousAt_logbproof · cited by 2
- Real.continuousAt_rpow_of_neproof · cited by 2
- continuousAt_clogproof · cited by 2
- Real.hasStrictDerivAt_log_of_posproof · cited by 1