Homotopy Type Theory dense relation > history (Rev #3)

Definition

A binary endorelation \mapsto over a type AA is dense if it comes with a family of dependent terms

a:A,b:Ad(a,b):(ab) c:A(ac)×(cb)a:A, b:A \vdash d(a, b): (a \mapsto b) \to \Vert \sum_{c:A} (a \mapsto c) \times (c \mapsto b) \Vert

See also

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