lean2/hott/algebra/algebra.md

algebra
=======

The following files are [ported](../port.md) from the standard library. If anything needs to be changed, it is probably a good idea to change it in the standard library and then port the file again (see also [script/port.pl](../../script/port.pl)).

* [priority](priority.hlean) : priority for algebraic operations
* [relation](relation.hlean)
* [binary](binary.hlean) : binary operations
* [order](order.hlean)
* [lattice](lattice.hlean)
* [group](group.hlean)
* [ring](ring.hlean)
* [ordered_group](ordered_group.hlean)
* [ordered_ring](ordered_ring.hlean)
* [field](field.hlean)
* [ordered_field](ordered_field.hlean)
* [bundled](bundled.hlean) : bundled versions of the algebraic structures

Files which are not ported from the standard library:

* [hott](hott.hlean) : Basic theorems about the algebraic hierarchy specific to HoTT
* [group_theory](group_theory.hlean) : Basic theorems about group homomorphisms and isomorphisms
* [trunc_group](trunc_group.hlean) : truncate an infinity-group to a group
* [homotopy_group](homotopy_group.hlean) : homotopy groups of a pointed type
* [e_closure](e_closure.hlean) : the type of words formed by a relation

Subfolders (not ported):

* [category](category/category.md) : Category Theory
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00			`algebra`
			`=======`

chore(hott): update md files, move port.md 2016-01-21 20:31:41 +00:00			`The following files are [ported](../port.md) from the standard library. If anything needs to be changed, it is probably a good idea to change it in the standard library and then port the file again (see also [script/port.pl](../../script/port.pl)).`
feat(hott): port parts of natural numbers and integers from standard library to HoTT This also involves: - adding definitions about logic and natural numbers existing in the standard library to init - porting the current algebraic hierarchy 2015-05-05 21:25:35 +00:00
chore(*.md): fix/remove broken links 2016-02-23 00:41:22 +00:00			`* [priority](priority.hlean) : priority for algebraic operations`
			`* [relation](relation.hlean)`
			`* [binary](binary.hlean) : binary operations`
			`* [order](order.hlean)`
			`* [lattice](lattice.hlean)`
			`* [group](group.hlean)`
			`* [ring](ring.hlean)`
			`* [ordered_group](ordered_group.hlean)`
			`* [ordered_ring](ordered_ring.hlean)`
			`* [field](field.hlean)`
			`* [ordered_field](ordered_field.hlean)`
			`* [bundled](bundled.hlean) : bundled versions of the algebraic structures`
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00
feat(hott): Port files from other repositories to the HoTT library. This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT. 2016-04-22 19:12:25 +00:00			`Files which are not ported from the standard library:`
feat(algebra\|types): small additions add to markdown file for algebra, and add some definitions in types/ 2015-11-21 03:32:35 +00:00
			`* [hott](hott.hlean) : Basic theorems about the algebraic hierarchy specific to HoTT`
feat(hott): Port files from other repositories to the HoTT library. This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT. 2016-04-22 19:12:25 +00:00			`* [group_theory](group_theory.hlean) : Basic theorems about group homomorphisms and isomorphisms`
feat(algebra\|types): small additions add to markdown file for algebra, and add some definitions in types/ 2015-11-21 03:32:35 +00:00			`* [trunc_group](trunc_group.hlean) : truncate an infinity-group to a group`
			`* [homotopy_group](homotopy_group.hlean) : homotopy groups of a pointed type`
			`* [e_closure](e_closure.hlean) : the type of words formed by a relation`

feat(hott/algebra): port abstract structures 2015-12-08 17:57:55 +00:00			`Subfolders (not ported):`
feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-05 02:06:39 +00:00
refactor(category): merge precategory/ and category/, organize construction files differently. 2015-04-25 04:20:59 +00:00			`* [category](category/category.md) : Category Theory`