2014-10-09 01:44:01 +00:00
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-- Copyright (c) 2014 Floris van Doorn. All rights reserved.
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-- Released under Apache 2.0 license as described in the file LICENSE.
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-- Author: Floris van Doorn
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import .basic
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import data.sigma
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open eq eq.ops category functor natural_transformation
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namespace limits
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--representable functor
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section
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2014-10-10 01:01:06 +00:00
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variables {obI ob : Type} {I : category obI} {C : category ob} {D : I ⇒ C}
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2014-10-09 01:44:01 +00:00
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definition constant_diagram (a : ob) : I ⇒ C :=
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mk (λ i, a)
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(λ i j u, id)
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(λ i, rfl)
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(λ i j k v u, symm !id_compose)
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definition cone := Σ(a : ob), constant_diagram a ⟹ D
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-- definition cone_category : category cone :=
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-- mk (λa b, sorry)
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-- (λ a b c g f, sorry)
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-- (λ a, sorry)
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-- (λ a b c d h g f, sorry)
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-- (λ a b f, sorry)
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-- (λ a b f, sorry)
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end
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end limits
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-- functor.mk (λ a, sorry)
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-- (λ a b f, sorry)
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-- (λ a, sorry)
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-- (λ a b c g f, sorry)
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