{- The properties of the flat modality that we use are built into Agda's --cohesion and --flat-split flags, so we do not need to postulate anything more, but we mention here some information about the modality. The --cohesion flag enables flat-modal hypotheses and flat-modal functions as described in Section 4 of Daniel R. Licata, Ian Orton, Andrew M. Pitts, Bas Spitters. Internal Universes in Models of Homotopy Type Theory The --flat-split flag enables "crisp induction", as described for identity types in the article above. In the formalization we use crisp induction for identity types, as in the paper above, and also for coproducts in the module tiny.preserves-coproduct. -} module axiom.flat where