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Operator symbols should match relations symbols (in lattices) #1664

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@andreasabel

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@andreasabel

The usual convention in math is that the shapes of inf/sup-operators are chosen consistent with the shape of the comparison relation, with typical flavors being:

  • rectangular
  • round
  • triangular

Thus the choice of a rectangular operator symbol in connection with a triangular relation symbol seems unnatural to me:

_⊓_ : Op₂ A
x ⊓ y with total x y
... | inj₁ x≤y = x
... | inj₂ y≤x = y
------------------------------------------------------------------------
-- Properties
x≤y⇒x⊓y≈x : {x y} x ≤ y x ⊓ y ≈ x

Also, isn't the standard style for lattice operations the triangular one?

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