diff --git a/src/Analysis/Measure/OuterMeasureRing.ard b/src/Analysis/Measure/OuterMeasureRing.ard index 740ce18b..a673f767 100644 --- a/src/Analysis/Measure/OuterMeasureRing.ard +++ b/src/Analysis/Measure/OuterMeasureRing.ard @@ -43,6 +43,7 @@ | norm_negative => pmap norm neative=id | norm_+ => rewrite +_diff $ norm-outer-measure LowerRealAbMonoid.<=∘ LowerRealAbMonoid.<=_+ (norm-outer-mono diff_<=) (norm-outer-mono diff_<=) +-- TODO: Replace with relative completion \class ExtendedMeasure \noclassifying (R : LowerPseudoNormedAbGroup) (M : PseudoPremeasureRing) (inc : AddGroupHom M R) (comp : \Pi (a : M) -> norm a LowerRealAbMonoid.<= norm (inc a)) { \func IsMeasurable (a : R) : \Prop => ∃ (F : ProperFilter M) (R.IsFilterLimit (SetFilter-map inc F) a) @@ -93,6 +94,7 @@ | isCauchyFilter {C} => measurable-cauchy (filter-limit-cauchy al) {C} } \in (CompleteCoverSpace.filter-point CF, inP (F, al, CompleteCoverSpace.filter-point-limit)) + {- \lemma measurable-closed {a b c : R} (op : M -> M -> M) (am : IsMeasurable a) (bm : IsMeasurable b) : IsMeasurable c \elim am, bm | inP (F,Fa), inP (G,Gb) => \let H : ProperFilter M => \new ProperFilter { @@ -118,5 +120,5 @@ } } \in inP (H, \lam {W} Wo Wc => inP {?}) - + -} }