Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.isCaratheodory_inter
∀ {α : Type u} (m : MeasureTheory.OuterMeasure α) {s₁ s₂ : Set α},
m.IsCaratheodory s₁ → m.IsCaratheodory s₂ → m.IsCaratheodory (s₁ ∩ s₂)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- Set.compl_interproof · cited by 26
- MeasureTheory.OuterMeasure.IsCaratheodorystatement and proof · cited by 20
- MeasureTheory.OuterMeasure.isCaratheodory_complproof · cited by 4
- MeasureTheory.OuterMeasure.isCaratheodory_unionproof · cited by 2
- MeasureTheory.OuterMeasure.isCaratheodory_compl_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.caratheodoryproof · cited by 37
- MeasureTheory.OuterMeasure.isCaratheodory_sdiffproof · cited by 2