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+Require Import Coqlib Floats Values Memory.
+Require Import Integers.
+Require Import Op Registers.
+Require Import RTLpathSE_theory.
+Require Import RTLpathSE_simu_specs.
+
+(** Target op simplifications using "fake" values *)
+
+Definition target_op_simplify (op: operation) (lr: list reg) (hst: hsistate_local): option hsval :=
+  None.
+
+Definition target_cbranch_expanse (prev: hsistate_local) (cond: condition) (args: list reg) : option (condition * list_hsval) :=
+  None.
+
+(* Main proof of simplification *)
+
+Lemma target_op_simplify_correct op lr hst fsv ge sp rs0 m0 st args m: forall
+   (H: target_op_simplify op lr hst = Some fsv)
+   (REF: hsilocal_refines ge sp rs0 m0 hst st)
+   (OK0: hsok_local ge sp rs0 m0 hst)
+   (OK1: seval_list_sval ge sp (list_sval_inj (map (si_sreg st) lr)) rs0 m0 = Some args)
+   (OK2: seval_smem ge sp (si_smem st) rs0 m0 = Some m),
+   seval_sval ge sp (hsval_proj fsv) rs0 m0 = eval_operation ge sp op args m.
+Proof.
+  unfold target_op_simplify; simpl.
+  intros H (LREF & SREF & SREG & SMEM) ? ? ?.
+  congruence.
+Qed.
+
+Lemma target_cbranch_expanse_correct hst c l ge sp rs0 m0 st c' l': forall
+  (TARGET: target_cbranch_expanse hst c l = Some (c', l'))
+  (LREF : hsilocal_refines ge sp rs0 m0 hst st)
+  (OK: hsok_local ge sp rs0 m0 hst),
+  seval_condition ge sp c' (hsval_list_proj l') (si_smem st) rs0 m0 =
+  seval_condition ge sp c (list_sval_inj (map (si_sreg st) l)) (si_smem st) rs0 m0.
+Proof.
+  unfold target_cbranch_expanse, seval_condition; simpl.
+  intros H (LREF & SREF & SREG & SMEM) ?.
+  congruence.
+Qed.
+Global Opaque target_op_simplify.
+Global Opaque target_cbranch_expanse.