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add theory of coinduction up-to context #1396

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@Plisp Plisp commented Feb 11, 2025

  • companionTheory has the main development based on "Coinduction All the Way Up", giving a way to compose extensions to coinduction principles and also extend the relation on the fly
    • more examples here
  • adapted some coinduction schemas in itreeTau to this new style
  • added a couple common theorems to posetTheory

I wonder if there could be some toggle that automatically generates the associated functional from a Coinductive definition and proves its monotonicity / coincidence with the fixpoint.

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