2015-10-27 22:02:00 +00:00
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/-
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Copyright (c) 2015 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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Authors: Floris van Doorn
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colimit_functor ⊣ Δ ⊣ limit_functor
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-/
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2015-10-27 23:02:42 +00:00
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import .colimits ..functor.adjoint2
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2015-10-27 22:02:00 +00:00
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2015-10-27 23:02:42 +00:00
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open functor category is_trunc prod
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2015-10-27 22:02:00 +00:00
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namespace category
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definition limit_functor_adjoint [constructor] (D I : Precategory) [H : has_limits_of_shape D I] :
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limit_functor D I ⊣ constant_diagram D I :=
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adjoint.mk'
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begin
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fapply natural_iso.MK: esimp,
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{ intro Fd f, induction Fd with F d, esimp at *,
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exact sorry},
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{ exact sorry},
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{ exact sorry},
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{ exact sorry},
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{ exact sorry}
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end
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-- set_option pp.universes true
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-- print Precategory_functor
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-- print limit_functor_adjoint
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-- print adjoint.mk'
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end category
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