Theorems · Theorem · measure theory
MeasureTheory.measure_lt_top_mono
∀ {α : Type u_1} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [MeasureTheory.OuterMeasureClass F α] {μ : F}
{s t : Set α}, s ⊆ t → μ t < ⊤ → μ s < ⊤- Defined in
- Mathlib.MeasureTheory.OuterMeasure.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Setstatement and proof · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- FunLikestatement and proof · cited by 2,560
- LE.le.trans_ltproof · cited by 795
- MeasureTheory.measure_monoproof · cited by 338
- MeasureTheory.OuterMeasureClassstatement and proof · cited by 104
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_singleton_lt_topproof · cited by 2