Theorems · Theorem · general topology
ENNReal.continuousAt_toReal
∀ {x : ENNReal}, x ≠ ⊤ → ContinuousAt ENNReal.toReal x- Cited by
- 6 results in Mathlib
- Foundations
- Depth 134 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 · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- ENNReal.toRealstatement · cited by 859
- ContinuousAtstatement · cited by 697
- ContinuousOn.continuousAtproof · cited by 33
- IsOpen.mem_nhds_iffproof · cited by 10
- ENNReal.continuousOn_toRealproof · cited by 3
- ENNReal.isOpen_ne_topproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_of_integral_tendsto_of_monotoneproof · cited by 3
- ProbabilityTheory.Kernel.tendsto_integral_density_of_antitoneproof · cited by 2
- MeasureTheory.measure_le_measure_closure_of_levyProkhorovEDist_eq_zeroproof · cited by 1
- IntervalIntegrable.absolutelyContinuousOnInterval_intervalIntegralproof · cited by 1
- ProbabilityTheory.isRatCondKernelCDFAux_preCDFproof · cited by 1
- MeasureTheory.integral_tendsto_of_tendsto_of_monotoneproof · cited by 1