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feat(topology/algebra/infinite_sum) : define infinite products #19219

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AntoineChambert-Loir
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This is a refactor of infinite sums, more or less everything is now available in a comm_monoid via multipliable, has_tprod, tprod, and in the case of add_comm_monoid as smmable, has_sum, tsum.


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@AntoineChambert-Loir AntoineChambert-Loir added the awaiting-review The author would like community review of the PR label Jun 29, 2023
@github-actions github-actions bot added the modifies-synchronized-file This PR touches a files that has already been ported to mathlib4, and may need a synchronization PR. label Jun 29, 2023
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As discussed on Zulip, we have a competing PR for this at #18405.

@semorrison semorrison added the too-late This PR was ready too late for inclusion in mathlib3 label Jul 16, 2023
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