Commit 2025-03-06 11:11 09a79323
View on Github →feat: Giry monoidal product (#22062)
Description:
Proves that the monoidal product of the Giry monoidal monad is measurable, following Lemma 4.1 https://doi.org/10.1016/j.aim.2020.107239
The file MeasureTheory/Measure/Prod.lean
proves that partial applications of Prod.mk
are measurable (eg. Measurable.map_prod_mk_left
) but this does not suffice to show that Prod.mk
is a measurable function out of both arguments at once.
Therefore, this lemma is useful for doing monadic probability theory without using Markov kernels.
I'm a first-time contributor, so feedback is very welcome :)