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[Merged by Bors] - feat(measure_theory/constructions/polish): quotient group is a Borel space #19186
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sgouezel
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sgouezel
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sgouezel
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urkud
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Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
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…space (#19186) * Suslin's theorem: an analytic set with analytic complement is measurable. * Image of a measurable set in a Polish space under a measurable map is an analytic set. * Preimage of a set under a measurable surjective map from a Polish space is measurable iff the original set is measurable. * Quotient space of a Polish space with quotient σ-algebra is a Borel space provided that it has second countable topology. * In particular, quotient group of a Polish topological group is a Borel space. * Change instance for `measurable_space` on `add_circle`.
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mathport
For compatibility with Lean 4 changes, to simplify porting
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This PR touches a files that has already been ported to mathlib4, and may need a synchronization PR.
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space is measurable iff the original set is measurable.
measurable_space
onadd_circle
.