70a2f6534c
also make argument of eq_of_rel implicit also remove most sorry's for hits path computation rule for rec still needs to be done for all hits
34 lines
800 B
Text
34 lines
800 B
Text
/-
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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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Module: hit.trunc
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Authors: Floris van Doorn
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n-truncation of types.
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Ported from Coq HoTT
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-/
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/- The hit n-truncation is primitive, declared in init.hit. -/
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import types.sigma
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open is_trunc eq equiv is_equiv function prod sum sigma
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namespace trunc
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protected definition elim {n : trunc_index} {A : Type} {P : Type}
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[Pt : is_trunc n P] (H : A → P) : trunc n A → P :=
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trunc.rec H
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protected definition elim_on {n : trunc_index} {A : Type} {P : Type} (aa : trunc n A)
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[Pt : is_trunc n P] (H : A → P) : P :=
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elim H aa
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/-
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there are no theorems to eliminate to the universe here,
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because the universe is generally not a set
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-/
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end trunc
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