Theorems · Theorem · measure theory
essInf_const_top
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : CompleteLattice β],
essInf (fun x => ⊤) μ = ⊤- Defined in
- Mathlib.MeasureTheory.Function.EssSup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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Cites6
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
- Top.topstatement · cited by 9,680
- CompleteLatticestatement and proof · cited by 1,048
- essInfstatement · cited by 18
- Filter.liminf_const_topproof · cited by 1
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