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Clean up `empty{',_inv,_iff}` lemmas.

Merged Clean up `empty{',_inv,_iff}` lemmas.
robbert/empty_iff into master
Merged Robbert Krebbers requested to merge robbert/empty_iff into master

Write them all using ↔ and consistently use the _iff suffix.

Also:

  • Make map_empty a biimplication
  • Add lemma map_filter_empty_iff
Edited by Robbert Krebbers

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