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Open claims about 2-element types #743

@fredrik-bakke

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@fredrik-bakke

The following claims are waiting to be formalized in univalent-combinatorics.2-element-types:

  • A map between 2-element types is an equivalence if and only if its image is the full subtype of the codomain
  • A map between 2-element types is not an equivalence if and only if its image is a singleton subtype of the codomain
  • Any map between 2-element types that is not an equivalence is constant
  • Any map between 2-element types is either an equivalence or it is constant

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