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Kleisli categories #32

@Vtec234

Description

@Vtec234

This is a roadmap for facts about Kleisli categories, which we should promptly send off to mathlib after proving.

  • Kleisli category
  • Kleisli adjunction
  • Category Adj(T) of adjunctions inducing the monad T
  • That the Kleisli adjunction and the Eilenberg-Moore adjunction (already in mathlib) are respectively initial and terminal in Adj(T) (5.2.12 here)

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