[Merged by Bors] - chore(topology/*): golf some proofs #4528
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Co-authored-by: Patrick Massot <patrickmassot@free.fr>
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* move `exists_nhds_split` to `topology/algebra/monoid`, rename to `exists_nhds_one_split`; * add a version `exists_open_nhds_one_split`; * move `exists_nhds_split4` to `topology/algebra/monoid`, rename to `exists_nhds_one_split4`; * move `one_open_separated_mul` to `topology/algebra/monoid`, rename to `exists_open_nhds_one_mul_subset`; * add `mem_prod_nhds_iff`; * golf some proofs.
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exists_nhds_splittotopology/algebra/monoid, rename toexists_nhds_one_split;exists_open_nhds_one_split;exists_nhds_split4totopology/algebra/monoid, rename toexists_nhds_one_split4;one_open_separated_multotopology/algebra/monoid, rename toexists_open_nhds_one_mul_subset;mem_prod_nhds_iff;