@@ -86,29 +86,29 @@ Program Definition Parallel : Category := {|
8686|}.
8787Next Obligation . equivalence; reduce. Qed .
8888Next Obligation . exact (f; X0). Defined .
89- Next Obligation . reduce; intuition. Qed .
89+ Next Obligation . reduce; intuition; auto with * . Qed .
9090Next Obligation . intuition; discriminate. Qed .
9191Next Obligation . intuition; discriminate. Qed .
9292Next Obligation . intuition; discriminate. Qed .
9393Next Obligation .
9494 proper.
95- destruct x, y, z; simpl in *; intuition.
95+ destruct x, y, z; simpl in *; intuition; auto with * .
9696Defined .
9797Next Obligation .
9898 destruct x, y; simpl in *;
99- destruct f; intuition.
99+ destruct f; intuition; auto with * .
100100Qed .
101101Next Obligation .
102102 destruct x, y; simpl in *;
103- destruct f; intuition.
103+ destruct f; intuition; auto with * .
104104Qed .
105105Next Obligation .
106106 destruct x, y, z, w; simpl in *;
107- destruct f; intuition.
107+ destruct f; intuition; auto with * .
108108Qed .
109109Next Obligation .
110110 destruct x, y, z, w; simpl in *;
111- destruct f; intuition.
111+ destruct f; intuition; auto with * .
112112Qed .
113113
114114Require Import Category.Theory.Functor.
@@ -130,7 +130,7 @@ Program Definition APair {C : Category} {x y : C} (f g : x ~> y) :
130130 | ParY, ParX => False_rect _ (ParHom_Y_X_absurd _ (projT2 h))
131131 end
132132|}.
133- Next Obligation . proper; reduce; simpl; intuition. Qed .
133+ Next Obligation . proper; reduce; simpl; intuition; auto with * . Qed .
134134Next Obligation . destruct x0; simpl; cat. Qed .
135135Next Obligation .
136136 destruct x0, y0, z; simpl; auto with parallel_laws; cat.
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