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The category of adjunctions splitting a given monad, and proof that `Kleisli` and `EilenbergMoore` are initial and terminal in it.
| open import Categories.Category | ||
| open import Categories.Monad | ||
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| module Categories.Adjoint.Construction.AdjunctionTerminalInitial {o ℓ e} {C : Category (o ⊔ ℓ ⊔ e) (ℓ ⊔ e) e} (M : Monad C) where |
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I would be tempted to call this Categories.Adjoint.Construction.Adjunctions.Properties.
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This was a good start @tetrapharmakon . Ready to come back to this and 'finish' it? Is there something I can do to help that along? |
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We think we laid down all relevant equalities and constraints required to complete the proofs in |
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I think what makes sense to do would to be to do this in phases: first the basic construction (which is done), then its properties (in progress). I could comment out the unfinished bits and bring the rest in now. I can then look to see if I have ideas on how to complete the holes. |
src/Categories/Adjoint/Construction/Adjunctions/Properties.agda
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The category of adjunctions splitting a given monad, and proof that
KleisliandEilenbergMooreare initial and terminal in it.