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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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