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Add isomorphisms of categories#260

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ScriptRaccoon merged 3 commits into
mainfrom
functor-isomorphism
Jul 2, 2026
Merged

Add isomorphisms of categories#260
ScriptRaccoon merged 3 commits into
mainfrom
functor-isomorphism

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@ScriptRaccoon ScriptRaccoon commented Jul 2, 2026

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This PR adds

  • isomorphisms of categories (as a functor property)
  • three new functors:
    • opposite monoid functor (an example of an isomorphism)
    • opposite category functor (an example of an isomorphism)
    • the equivalence between the trivial category and the walking isomorphism (the simplest example of an equivalence of categories which is not an isomorphism)

This is the simplest example of an equivalence of categories which is not an isomorphism.
@ScriptRaccoon ScriptRaccoon force-pushed the functor-isomorphism branch from a6afb04 to f3c92e9 Compare July 2, 2026 14:09
@ScriptRaccoon ScriptRaccoon merged commit 21d3ccc into main Jul 2, 2026
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@ScriptRaccoon ScriptRaccoon deleted the functor-isomorphism branch July 2, 2026 14:10
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