Goal:
    __x4 : Z  __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      [ZMicromega.RatProof
         (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
            (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 1)
               (RingMicromega.PsatzIn Z 0))) ZMicromega.DoneProof] in
    let __varmap :=
      VarMap.Branch (VarMap.Branch (VarMap.Elt __x4) __x2 VarMap.Empty) __x1
        (VarMap.Elt __x3) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX 4;
             RingMicromega.Fop := RingMicromega.OpLe;
             RingMicromega.Frhs := EnvRing.PEc 0
           |} tt) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEc 0;
                RingMicromega.Fop := RingMicromega.OpLt;
                RingMicromega.Frhs :=
                  EnvRing.PEadd
                    (EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEX 1))
                    (EnvRing.PEadd (EnvRing.PEX 2) (EnvRing.PEX 4))
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEc 0;
                RingMicromega.Fop := RingMicromega.OpLt;
                RingMicromega.Frhs :=
                  EnvRing.PEadd (EnvRing.PEX 1)
                    (EnvRing.PEadd (EnvRing.PEX 2) (EnvRing.PEX 3))
              |} tt)) in
    __x4 <= 0 -> 0 < __x3 + __x1 + (__x2 + __x4) -> 0 < __x1 + (__x2 + __x3))


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))