Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.isCaratheodory_compl
∀ {α : Type u} (m : MeasureTheory.OuterMeasure α) {s₁ : Set α}, m.IsCaratheodory s₁ → m.IsCaratheodory s₁ᶜ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Compl.complstatement and proof · cited by 2,925
- add_commproof · cited by 1,535
- Set.inter_commproof · cited by 291
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- compl_complproof · cited by 229
- Set.sdiff_eqproof · cited by 59
- MeasureTheory.OuterMeasure.IsCaratheodorystatement · cited by 20
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.isCaratheodory_sdiffproof · cited by 2
- MeasureTheory.OuterMeasure.isCaratheodory_interproof · cited by 1
- MeasureTheory.OuterMeasure.isCaratheodory_compl_iffproof · cited by 1
- MeasureTheory.OuterMeasure.caratheodoryDynkinproof · cited by 0
- MeasureTheory.AddContent.isCaratheodory_inducedOuterMeasureproof · cited by 0