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A -frame is a $\sigma$-complete lattice with a family of dependent terms
A -frame is a $\sigma$-complete lattice such that the countably infinitary distributive property is satisfied:
A -frame is a $\sigma$-complete lattice with a family of dependent terms
representing the countably infinitary distributive property for the lattice.
Alex Simpson, Measure, randomness and sublocales.
Univalent Foundations Project, Homotopy Type Theory – Univalent Foundations of Mathematics (2013)