Theorems · Theorem · measure theory

MeasureTheory.IntegrableAtFilter.inf_of_left

∀ {α : Type u_1} {ε : Type u_3} {mα : MeasurableSpace α} {f : α → ε} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε] {l l' : Filter α},
  MeasureTheory.IntegrableAtFilter f l μ → MeasureTheory.IntegrableAtFilter f (l ⊓ l') μ

Defined in: Mathlib.MeasureTheory.Integral.IntegrableOn
Cited by: 0 results in Mathlib
Foundations: Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace ContinuousENorm

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TopologicalSpacestatement and proof · cited by 24,529
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
Filterstatement and proof · cited by 8,121
ContinuousENormstatement and proof · cited by 290
inf_le_leftproof · cited by 286
MeasureTheory.IntegrableAtFilterstatement and proof · cited by 66
MeasureTheory.IntegrableAtFilter.filter_monoproof · cited by 8

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