Theorems · Theorem · real analysis
Real.continuous_posLog
Continuous Real.posLog
The function log⁺ is continuous.
- Cited by
- 1 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.
Cites20
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
- Continuousstatement · cited by 2,592
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Metric.ballproof · cited by 735
- ContinuousAtproof · cited by 697
- zero_lt_oneproof · cited by 598
- Continuous.continuousAtproof · cited by 297
- dist_zero_rightproof · cited by 172
- continuous_iff_continuousAtproof · cited by 139
- Metric.ball_mem_nhdsproof · cited by 64
- Real.posLogstatement · cited by 61
Cited by1
Results whose statement or proof uses this declaration.
- ValueDistribution.continuous_proximity_topproof · cited by 0