Goal:
  
  __x6 : Z
  __x5 : Z
  __x4 : Z
  __x3 : Z
  __x2 : Z
  __x1 : Z
  __wit := [ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 4)
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 3)
                    (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
                       (RingMicromega.PsatzAdd
                          (RingMicromega.PsatzMulC 
                             (EnvRing.Pc (-1)) (RingMicromega.PsatzIn Z 1))
                          (RingMicromega.PsatzIn Z 0)))))
              ZMicromega.DoneProof] : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch
                (VarMap.Branch (VarMap.Elt __x4) __x2 (VarMap.Elt __x6)) __x1
                (VarMap.Branch (VarMap.Elt __x5) __x3 VarMap.Empty)
           : VarMap.t Z
  __ff := Tauto.IMPL
            (Tauto.A Tauto.isProp
               {|
                 RingMicromega.Flhs := EnvRing.PEX 5;
                 RingMicromega.Fop := RingMicromega.OpLe;
                 RingMicromega.Frhs := EnvRing.PEX 6
               |} tt) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEX 6;
                    RingMicromega.Fop := RingMicromega.OpLe;
                    RingMicromega.Frhs := EnvRing.PEX 3
                  |} tt) None
               (Tauto.IMPL
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX 2;
                       RingMicromega.Fop := RingMicromega.OpLe;
                       RingMicromega.Frhs :=
                         EnvRing.PEadd
                           (EnvRing.PEsub (EnvRing.PEX 5) (EnvRing.PEX 3))
                           (EnvRing.PEX 4)
                     |} tt) None
                  (Tauto.IMPL
                     (Tauto.A Tauto.isProp
                        {|
                          RingMicromega.Flhs := EnvRing.PEopp (EnvRing.PEX 3);
                          RingMicromega.Fop := RingMicromega.OpEq;
                          RingMicromega.Frhs := EnvRing.PEX 1
                        |} tt) None
                     (Tauto.A Tauto.isProp
                        {|
                          RingMicromega.Flhs :=
                            EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 2);
                          RingMicromega.Fop := RingMicromega.OpLe;
                          RingMicromega.Frhs :=
                            EnvRing.PEadd (EnvRing.PEopp (EnvRing.PEX 3))
                              (EnvRing.PEX 4)
                        |} tt))))
       : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   (__x5 <= __x6 ->
    __x6 <= __x3 ->
    __x2 <= __x5 - __x3 + __x4 ->
    - __x3 = __x1 -> __x1 + __x2 <= - __x3 + __x4)


DEBUG:Going to execute:
<coq-core.plugins.ltac::exact@0> $1