Commit 2021-06-15 03:22 ba25bb8a
View on Github →feat(measure_theory): define measure.trim
, restriction of a measure to a sub-sigma algebra (#7906)
It is common to see a measure μ
on a measurable space structure m0
as being also a measure on any m ≤ m0
. Since measures in mathlib have to be trimmed to the measurable space, μ
itself is not a measure on m
. For hm : m ≤ m0
, we define the measure μ.trim hm
on m
.
We add lemmas relating a measure and its trimmed version, mostly about integrals of m
-measurable functions.