52dd6cf90b
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.
29 lines
1.2 KiB
Markdown
29 lines
1.2 KiB
Markdown
algebra
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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)).
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* [priority](priority.hlean) : priority for algebraic operations
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* [relation](relation.hlean)
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* [binary](binary.hlean) : binary operations
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* [order](order.hlean)
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* [lattice](lattice.hlean)
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* [group](group.hlean)
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* [ring](ring.hlean)
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* [ordered_group](ordered_group.hlean)
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* [ordered_ring](ordered_ring.hlean)
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* [field](field.hlean)
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* [ordered_field](ordered_field.hlean)
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* [bundled](bundled.hlean) : bundled versions of the algebraic structures
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Files which are not ported from the standard library:
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* [hott](hott.hlean) : Basic theorems about the algebraic hierarchy specific to HoTT
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* [group_theory](group_theory.hlean) : Basic theorems about group homomorphisms and isomorphisms
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* [trunc_group](trunc_group.hlean) : truncate an infinity-group to a group
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* [homotopy_group](homotopy_group.hlean) : homotopy groups of a pointed type
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* [e_closure](e_closure.hlean) : the type of words formed by a relation
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Subfolders (not ported):
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* [category](category/category.md) : Category Theory
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