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Commit 2023-02-08 12:29 2407f3b1

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feat(analysis/complex/basic): lemmas about tsum (#18376) This adds lemmas about the four "basis" complex operations: re, im, of_real (coercion), and conj. These all follow trivially from the API for continuous linear morphisms, but using those results directly gives syntacticly different terms that don't work in rewrites. Similarly, the conj lemmas follow trivially from the results about star, but conj (aka star_ring_end) is not a syntactic match for star. This proves all the results for is_R_or_C (including a more general version of has_sum_iff), then copies across the results to complex for convenience.

Estimated changes

added theorem complex.conj_tsum
added theorem complex.has_sum_conj'
added theorem complex.has_sum_conj
modified theorem complex.has_sum_iff
added theorem complex.has_sum_im
added theorem complex.has_sum_re
added theorem complex.im_tsum
added theorem complex.of_real_tsum
added theorem complex.re_tsum
added theorem complex.summable_conj
added theorem is_R_or_C.conj_tsum
added theorem is_R_or_C.has_sum_conj
added theorem is_R_or_C.has_sum_iff
added theorem is_R_or_C.has_sum_im
added theorem is_R_or_C.has_sum_re
added theorem is_R_or_C.im_tsum
added theorem is_R_or_C.of_real_tsum
added theorem is_R_or_C.re_tsum