Commit 2020-10-23 05:47 ff711a31
View on Github →feat(measure_theory/measure_space): Added lemmas for commuting restrict for outer measures and measures (#4673)
This also adds of_function_apply
and Inf_apply
(for outer_measure
). I had some difficulty getting
these functions to expand (as represented by the length of Inf_apply
) in a clean way.
I also think Inf_apply
is instructive in terms of making it clear what the definition of Inf
is. Once Inf
is rewritten,
then the large set of operations available for infi_le
and le_infi
(and ennreal.tsum_le_tsum
) can be used.
measure.restrict_Inf_eq_Inf_restrict
will be helpful in getting more results about the subtraction of measures,
specifically writing down the result of (a - b)
when a
is not less than or equal to b
and b
is not less than
or equal to a
.