lean2/hott/naming_conventions.md

HoTT Naming Conventions

[generic naming conventions go here]

Pointed Types

We use a prefix p to specify that an operation/construction is pointed. For example pequiv is pointed equivalences and phomotopy are pointed homotopies. Only if a construction only works for pointed types and has no unpointed equivalent we omit the p (examples: loop loopn homotopy_group). A lemma about pointed constructions repeats the p for every name, for example psusp_pequiv_psusp or pid_pcompose. For notation we append * for the pointed version, like Type* (this is the universe of pointed types, not the universe considered as a pointed type), S* or bool*. For notations which only make sense pointed we don't add the star, like Ω[n] or π[k].