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Formalize closure properties of left orthogonal shapes and right orthogonal maps #81

@TashiWalde

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@TashiWalde

The notion of orthogonality from BW23 is formalized in #76.

It satisfies many desirable closure properties:

  • In the left argument:
    • isomorphism of shape-pairs
    • composition
    • left cancellation
    • right cancellation with retraction
    • pushout product
    • crossing with a shape
    • exact pushout
    • retracts
  • in the right argument:
    • equivalence of maps
    • composition
    • right cancellation
    • left cancellation with section
    • exponentiation
    • pullback
    • retracts
  • and many more

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