lean2/hott/init/init.md

init

The modules 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
• tactic
• priority

Datatypes and logic:

• logic
• datatypes (declaration of common types)
• bool
• num
• nat
• function
• types (notation and some theorems for the remaining basic types)

HoTT basics:

• path
• hedberg
• trunc
• equiv
• ua (declaration of the univalence axiom, and some basic properties)
• funext (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
• wf
• util

The default import:

• default