Commit 2024-04-16 22:37 8f9698de

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feat(Order): limit elements in well-ordered types (#11584) This PR introduces two main definitions:

  • wellOrderSucc a: the successor of an element a in a well-ordered type
  • the typeclass IsWellOrderLimitElement a which asserts that an element a (in a well-ordered type) is neither a successor nor the smallest element, i.e. a is a limit element Then, the lemma eq_bot_or_eq_succ_or_isWellOrderLimitElement shows that an element in a well-ordered type is either , a successor, or a limit element.

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