Theorems · Theorem · measure theory
essInf_congr_ae
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
[inst : ConditionallyCompleteLattice β] {f g : α → β}, f =ᵐ[μ] g → essInf f μ = essInf g μ- Defined in
- Mathlib.MeasureTheory.Function.EssSup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ConditionallyCompleteLattice
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- ConditionallyCompleteLatticestatement and proof · cited by 364
- essInfstatement · cited by 18
- essSup_congr_aeproof · cited by 4
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