Goal:
    __x6 : Z  __x5 : Z  __x4 : Z  __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __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] in
    let __varmap :=
      VarMap.Branch (VarMap.Branch (VarMap.Elt __x4) __x2 (VarMap.Elt __x6))
        __x1 (VarMap.Branch (VarMap.Elt __x5) __x3 VarMap.Empty) in
    let __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)))) in
    __x5 <= __x6 ->
    __x6 <= __x3 ->
    __x2 <= __x5 - __x3 + __x4 ->
    - __x3 = __x1 -> __x1 + __x2 <= - __x3 + __x4)


DEBUG:Going to execute:
intros __wit __varmap __ff; exact
            (ZMicromega.ZTautoChecker_sound __ff __wit
               (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
               (VarMap.find 0 __varmap))