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Theorems · Theorem · measure theory

MeasureTheory.extend_top

∀ {α : Type u_3} {P : α → Prop}, (MeasureTheory.extend fun x x_1 => ⊤) = ⊤
Defined in
Mathlib.MeasureTheory.OuterMeasure.Induced
Cited by
1 results in Mathlib
Foundations
Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.OuterMeasure.mkMetric_top · cited by 1OuterMeasure.mkMetric_topENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.topMeasureTheory.extend · cited by 24MeasureTheory.extendiInf_eq_top · cited by 10iInf_eq_topMeasureTheory.extend_topCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.