## lustrec / optim / oversampling / out / typed / g_step_call_f_step_pre_4.coq @ 6a93d814

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1 | 6a93d814 | xthirioux | (* ---------------------------------------------------------- *) |
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2 | (* --- Instance of 'Pre-condition (file oversampling0_4.c, line 152) in 'f_step'' in 'g_step' at call 'f_step' (file oversampling0_4.c, line 357) |
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3 | --- *) |
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4 | (* ---------------------------------------------------------- *) |
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5 | Require Import ZArith. |
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6 | Require Import Reals. |
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7 | Require Import BuiltIn. |
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8 | Require Import bool.Bool. |
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9 | Require Import int.Int. |
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10 | Require Import int.Abs. |
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11 | Require Import int.ComputerDivision. |
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12 | Require Import real.Real. |
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13 | Require Import real.RealInfix. |
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14 | Require Import real.FromInt. |
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15 | Require Import map.Map. |
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16 | Require Import Qedlib. |
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17 | Require Import Qed. |
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18 | Require Import Memory. |
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19 | Require Import Cint. |
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20 | |||

21 | Require Import Compound. |
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22 | Require Import Axiomatic. |
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23 | Require Import Globals. |
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24 | Require Import S_g_mem_pack. |
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25 | |||

26 | Goal |
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27 | let a := (shift_sint32 ((global (L_last_y_459)%Z)) 0%Z) in |
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28 | let a_1 := (shift_sint32 ((global (L_cpt_458)%Z)) 0%Z) in |
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29 | forall (i_1 i : Z), |
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30 | forall (t : array Z), |
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31 | forall (t_7 t_6 t_5 t_4 t_3 t_2 t_1 : farray addr Z), |
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32 | forall (t_8 : farray addr addr), |
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33 | forall (a_3 a_2 : addr), |
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34 | let a_4 := t_8.[ (shiftfield_F_g_mem_ni_1 a_3) ] in |
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35 | let a_5 := t_8.[ (shiftfield_F_g_mem_ni_0 a_3) ] in |
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36 | let a_6 := t_8.[ (shiftfield_F_f_mem_ni_2 a_5) ] in |
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37 | let x := (t_6.[ a ])%Z in |
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38 | let a_7 := (shiftfield_F__arrow_reg__first |
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39 | ((shiftfield_F__arrow_mem__reg a_4))) in |
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40 | let x_1 := (t_7.[ a_7 ])%Z in |
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41 | ((framed t_8)) -> |
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42 | ((linked t)) -> |
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43 | ((is_uint32 i%Z)) -> |
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44 | (a_2 <> a_4) -> |
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45 | ((valid_rw t a_2 1%Z)) -> |
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46 | ((P_valid_g t t_8 a_3)) -> |
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47 | ((((region ((base a_2))%Z)) <= 0)%Z) -> |
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48 | ((((region ((base a_3))%Z)) <= 0)%Z) -> |
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49 | ((separated a_3 3%Z a_2 1%Z)) -> |
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50 | (a_2 <> a_6) -> |
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51 | (a_4 <> a_6) -> |
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52 | ((separated a_2 1%Z a_5 2%Z)) -> |
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53 | ((separated a_3 3%Z a_5 2%Z)) -> |
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54 | ((separated a_3 3%Z a_4 1%Z)) -> |
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55 | ((separated a_5 2%Z a_4 1%Z)) -> |
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56 | ((is_sint32 x)) -> |
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57 | ((is_uint32 x_1)) -> |
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58 | ((separated a_3 3%Z a_6 1%Z)) -> |
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59 | ((separated a_5 2%Z a_6 1%Z)) -> |
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60 | (itep ((0 = x_1)%Z) (t_1 = t_7) (t_1 = (t_7.[ a_7 <- (0)%Z ]))) -> |
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61 | (itep ((0 = i)%Z) (t_4 = t_6) |
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62 | ((t_4 = t_5) /\ (t_6 = (t_5.[ a <- (i_1)%Z ])))) -> |
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63 | (itep ((0 = x_1)%Z) |
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64 | ((t_1 = t_2) /\ |
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65 | (t_4 = |
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66 | (t_2.[ a <- (t_2.[ (shiftfield_F_g_reg___g_2 |
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67 | ((shiftfield_F_g_mem__reg a_3))) ])%Z ]))) |
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68 | ((t_1 = t_3) /\ (t_4 = (t_3.[ a <- (0)%Z ])))) -> |
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69 | (forall (g : S_g_mem_pack), ((IsS_g_mem_pack g)) -> |
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70 | (forall (g_1 : S_g_mem_pack), (P_g_pack0) -> ((IsS_g_mem_pack g_1)) -> |
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71 | ((P_g_pack3 t_8 t_7 g a_3)) -> (P_trans_gA))) -> |
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72 | (forall (g : S_g_mem_pack), ((IsS_g_mem_pack g)) -> |
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73 | (forall (g_1 : S_g_mem_pack), ((IsS_g_mem_pack g_1)) -> |
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74 | ((P_g_pack1 t_8 t_4 g_1 a_3)) -> ((P_g_pack3 t_8 t_7 g a_3)) -> |
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75 | ((P_trans_gC g g_1 (t_4.[ a ])%Z)))) -> |
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76 | (forall (g : S_g_mem_pack), ((IsS_g_mem_pack g)) -> |
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77 | (forall (g_1 : S_g_mem_pack), ((IsS_g_mem_pack g_1)) -> |
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78 | ((P_g_pack1 t_8 t_1 g_1 a_3)) -> ((P_g_pack3 t_8 t_7 g a_3)) -> |
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79 | ((P_trans_gB g g_1 x_1)))) -> |
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80 | (forall (g : S_g_mem_pack), ((IsS_g_mem_pack g)) -> |
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81 | (forall (g_1 : S_g_mem_pack), ((IsS_g_mem_pack g_1)) -> |
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82 | ((P_g_pack1 t_8 t_6 g_1 a_3)) -> ((P_g_pack3 t_8 t_7 g a_3)) -> |
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83 | ((P_trans_gD i%Z i_1%Z g g_1 x)))) -> |
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84 | ((a_1 <> a_6) /\ (a <> a_6) /\ ((separated a_5 2%Z a_1 1%Z)) /\ |
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85 | ((separated a_5 2%Z a 1%Z))). |