feat(hott/init): add auxiliary definition needed by definitional package

This commit is contained in:
Leonardo de Moura 2014-12-19 14:22:03 -08:00
parent 582c1f8458
commit 3d2d5839a1
2 changed files with 16 additions and 1 deletions

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@ -8,6 +8,6 @@ prelude
import init.datatypes init.reserved_notation init.tactic init.logic
import init.bool init.num init.priority init.relation init.wf
import init.types.sigma init.types.prod init.types.empty
import init.trunc init.path init.equiv
import init.trunc init.path init.equiv init.util
import init.axioms.ua init.axioms.funext init.axioms.funext_from_ua
import init.hedberg

15
hott/init/util.hlean Normal file
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@ -0,0 +1,15 @@
/-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Auxiliary definitions used by automation
-/
prelude
import init.trunc
open truncation
definition eq_rec_on_eq {A : Type} {B : A → Type} [h : is_hset A] {a : A} (b : B a) (p : a = a) : eq.rec_on p b = b :=
eq.rec_on (is_hset.elim (eq.refl a) p) (eq.refl (eq.rec_on (eq.refl a) b))