proposition: Lemma _paco_convert5: forall T0 T1 T2 T3 T4 (paco5: forall (y0: @T0) (y1: @T1 y0) (y2: @T2 y0 y1) (y3: @T3 y0 y1 y2) (y4: @T4 y0 y1 y2 y3) , Prop) y0 y1 y2 y3 y4 (CONVERT: forall (x0: @T0) (x1: @T1 x0) (x2: @T2 x0 x1) (x3: @T3 x0 x1 x2) (x4: @T4 x0 x1 x2 x3) (EQ: _paco_id (@exist5T T0 T1 T2 T3 T4 x0 x1 x2 x3 x4 = @exist5T T0 T1 T2 T3 T4 y0 y1 y2 y3 y4)) , @paco5 x0 x1 x2 x3 x4), @paco5 y0 y1 y2 y3 y4.
proof: Proof. intros. apply CONVERT; reflexivity. Qed.