lean2/hott/init/init.md

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)
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00			`init`
			`====`

fix(hott/.md,library/.md): use the word 'file' instead of 'module' 2015-05-24 08:36:26 +00:00			`The files in this folder are required by low-level operations, and`
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00			`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)`
refactor(hott.init): remove subdirectories, merge some files 2015-04-24 23:58:50 +00:00			`* [datatypes](datatypes.hlean) (declaration of common types)`
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00			`* [bool](bool.hlean)`
			`* [num](num.hlean)`
			`* [nat](nat.hlean)`
			`* [function](function.hlean)`
refactor(hott.init): remove subdirectories, merge some files 2015-04-24 23:58:50 +00:00			`* [types](types.hlean) (notation and some theorems for the remaining basic types)`
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00
			`HoTT basics:`

			`* [path](path.hlean)`
			`* [hedberg](hedberg.hlean)`
			`* [trunc](trunc.hlean)`
			`* [equiv](equiv.hlean)`
refactor(hott.init): remove subdirectories, merge some files 2015-04-24 23:58:50 +00:00			`* [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)`
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00
			`Support for well-founded recursion and automation:`

			`* [relation](relation.hlean)`
			`* [wf](wf.hlean)`
			`* [util](util.hlean)`

			`The default import:`

			`* [default](default.hlean)`