Theorems · Definition · measure theory
MeasureTheory.AddContent.extend
{α : Type u_1} →
{C : Set (Set α)} →
MeasureTheory.IsSetSemiring C → MeasureTheory.AddContent ENNReal C → MeasureTheory.AddContent ENNReal CAn additive content obtained from another one on the same semiring of sets by setting the value
of each set not in the semiring at ∞.
- Defined in
- Mathlib.MeasureTheory.Measure.AddContent
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Finsetproof · cited by 13,712
- ENNRealstatement and proof · cited by 9,879
- SetLike.coeproof · cited by 8,199
- Set.sUnionproof · cited by 392
- Set.PairwiseDisjointproof · cited by 275
- MeasureTheory.IsSetSemiringstatement and proof · cited by 78
- MeasureTheory.AddContentstatement and proof · cited by 78
- MeasureTheory.extendproof · cited by 24
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.AddContent.extend_eq_extendstatement · cited by 2
- MeasureTheory.AddContent.extend_eq_topstatement · cited by 2
- MeasureTheory.AddContent.isCaratheodory_inducedOuterMeasure_of_memproof · cited by 1
- MeasureTheory.AddContent.extend_eqstatement · cited by 1
- MeasureTheory.AddContent.inducedOuterMeasure_eqproof · cited by 1