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(**************************************************************************)
(* *)
(* SMTCoq *)
(* Copyright (C) 2011 - 2019 *)
(* *)
(* See file "AUTHORS" for the list of authors *)
(* *)
(* This file is distributed under the terms of the CeCILL-C licence *)
(* *)
(**************************************************************************)
Require Import SMTCoq.
Parameter g : Z -> Z.
Axiom g_2_linear : forall x, Zeq_bool (g (x + 1)) ((g x) + 2).
Lemma apply_lemma_multiple :
forall x y, Zeq_bool (g (x + y)) ((g x) + y * 2).
Proof.
verit g_2_linear.
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