init ==== The files in this folder are required by low-level operations, and are always imported by default. You can suppress this behavior by beginning a file with the keyword "prelude". Syntax declarations: * [reserved_notation](reserved_notation.hlean) * [tactic](tactic.hlean) * [priority](priority.hlean) Datatypes and logic: * [logic](logic.hlean) * [datatypes](datatypes.hlean) (declaration of common types) * [bool](bool.hlean) * [num](num.hlean) * [nat](nat.hlean) * [function](function.hlean) * [types](types.hlean) (notation and some theorems for the remaining basic types) HoTT basics: * [path](path.hlean) * [hedberg](hedberg.hlean) * [trunc](trunc.hlean) * [equiv](equiv.hlean) * [ua](ua.hlean) (declaration of the univalence axiom, and some basic properties) * [funext](funext.hlean) (proof of equivalence of certain notions of function exensionality, and a proof that function extensionality follows from univalence) Support for well-founded recursion and automation: * [relation](relation.hlean) * [wf](wf.hlean) * [util](util.hlean) The default import: * [default](default.hlean)