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Maybe the Hom version of Adjunction can be fully polymorphic? #351

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JacquesCarette opened this issue Jun 7, 2022 · 1 comment

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JacquesCarette commented Jun 7, 2022

See this discussion on twitter that points to this code on 1Lab that appears to do just that.

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HuStmpHrrr commented Jun 9, 2022 •

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indeed this is the same as

agda-categories/src/Categories/Adjoint.agda

Lines 128 to 130 in 45798f8

    
           Ladjunct-comm : ∀ {X Y A B} {h i : L.F₀ X D.⇒ Y} {f : A ⇒ X} {g : Y D.⇒ B} → 
        
                             h D.≈ i → 
        
                             R.F₁ (g D.∘ h D.∘ L.F₁ f) ∘ unit.η A ≈ R.F₁ g ∘ (R.F₁ i ∘ unit.η X) ∘ f

if we unfold we don't need to match up universe levels.

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