2015-04-25 00:13:08 +00:00
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hit
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===
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2015-05-14 02:01:48 +00:00
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Declaration and theorems of higher inductive types in Lean. We take
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two higher inductive types (hits) as primitive notions in Lean. We
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define all other hits in terms of these two hits. The hits which are
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primitive are n-truncation and type quotients. These are defined in
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[init.hit](../init.hit.hlean) and they have definitional computation
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rules on the point constructors.
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2015-04-25 00:13:08 +00:00
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Files in this folder:
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* [type_quotient](type_quotient.hlean) (Type quotients, primitive)
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* [trunc](trunc.hlean) (truncation, primitive)
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* [colimit](colimit.hlean) (Colimits of arbitrary diagrams and sequential colimits, defined using type quotients)
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* [pushout](pushout.hlean) (Pushouts, defined using type quotients)
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* [coeq](coeq.hlean) (Co-equalizers, defined using type quotients)
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* [cylinder](cylinder.hlean) (Mapping cylinders, defined using type quotients)
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* [quotient](quotient.hlean) (Set-quotients, defined using type quotients and set-truncation)
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* [suspension](suspension.hlean) (Suspensions, defined using pushouts)
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* [sphere](sphere.hlean) (Higher spheres, defined recursively using suspensions)
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* [circle](circle.hlean)
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