Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.continuous_lintegral_continuousMap
∀ {X : Type u_2} [inst : TopologicalSpace X] [CompactSpace X] [inst_2 : MeasurableSpace X]
[inst_3 : OpensMeasurableSpace X] {F : Type u_3} [inst_4 : FunLike F X NNReal] [ContinuousMapClass F X NNReal]
(f : F), Continuous fun μ => ∫⁻ (x : X), ↑(f x) ∂↑μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- Continuousstatement · cited by 2,592
- FunLikestatement and proof · cited by 2,560
- ENNReal.ofNNRealstatement · cited by 1,279
- MeasureTheory.lintegralstatement · cited by 1,152
- OpensMeasurableSpacestatement and proof · cited by 636
- CompactSpacestatement and proof · cited by 593
- continuous_idproof · cited by 192
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