lean2/hott/init/util.hlean

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/-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.util
Author: Leonardo de Moura
Auxiliary definitions used by automation
-/
prelude
import init.trunc
open is_trunc
definition eq_rec_eq.{l₁ l₂} {A : Type.{l₁}} {B : A → Type.{l₂}} [h : is_hset A] {a : A} (b : B a) (p : a = a) :
b = @eq.rec.{l₂ l₁} A a (λ (a' : A) (h : a = a'), B a') b a p :=
eq.rec_on (is_hset.elim (eq.refl a) p) (eq.refl (eq.rec_on (eq.refl a) b))