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Commit 2022-04-21 12:09 e5f82363

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feat(analysis/normed_space/exponential): ring homomorphisms are preserved by the exponential (#13402) The new results here are:

  • prod.fst_exp
  • prod.snd_exp
  • exp_units_conj
  • exp_conj
  • map_exp
  • map_exp_of_mem_ball This last lemma does all the heavy lifting, and also lets us golf algebra_map_exp_comm. This doesn't bother to duplicate the rest of these lemmas for the *_of_mem_ball version, since the proofs are trivial and those lemmas probably wouldn't be used. This also generalizes some of the lemmas about infinite sums to work with add_monoid_hom_class.

Estimated changes

added theorem exp_conj'
added theorem exp_conj
added theorem exp_smul
added theorem exp_units_conj'
added theorem exp_units_conj
added theorem map_exp
added theorem map_exp_of_mem_ball
added theorem prod.fst_exp
added theorem prod.snd_exp