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refactor(measure_theory/borel): borel
is not an instance
#2326
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This looks great, I only have minor comments.
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Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr>
…athlib into borel-space
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…ver-community#2326) Redo Borel spaces in a way similar to `closed_order_topology`/`order_topology`. * `borel` is no longer an `instance`; * define typeclass `opens_measurable_space` for a space with `measurable_space` and `topological_space` structures such that all open sets are measurable; * define typeclass `borel_space` for a space with `measurable_space` and `topological_space` structures such that `measurable_space` structure is equal to `borel`; * use dot syntax in more cases; * review some proofs that started to fail because of this change.
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…ver-community#2326) Redo Borel spaces in a way similar to `closed_order_topology`/`order_topology`. * `borel` is no longer an `instance`; * define typeclass `opens_measurable_space` for a space with `measurable_space` and `topological_space` structures such that all open sets are measurable; * define typeclass `borel_space` for a space with `measurable_space` and `topological_space` structures such that `measurable_space` structure is equal to `borel`; * use dot syntax in more cases; * review some proofs that started to fail because of this change.
cipher1024
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…ver-community#2326) Redo Borel spaces in a way similar to `closed_order_topology`/`order_topology`. * `borel` is no longer an `instance`; * define typeclass `opens_measurable_space` for a space with `measurable_space` and `topological_space` structures such that all open sets are measurable; * define typeclass `borel_space` for a space with `measurable_space` and `topological_space` structures such that `measurable_space` structure is equal to `borel`; * use dot syntax in more cases; * review some proofs that started to fail because of this change.
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Commit Message
Redo Borel spaces in a way similar to
closed_order_topology
/order_topology
.borel
is no longer aninstance
;opens_measurable_space
for a space withmeasurable_space
andtopological_space
structures such that all open sets are measurable;borel_space
for a space withmeasurable_space
andtopological_space
structures such thatmeasurable_space
structure is equal toborel
;