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.Branch (VarMap.Elt __x4) __x4 VarMap.Empty)
           __x2 VarMap.Empty) __x1 (VarMap.Elt __x3) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs :=
               EnvRing.PEadd (EnvRing.PEX 8) (EnvRing.PEX 2);
             RingMicromega.Fop := RingMicromega.OpLe;
             RingMicromega.Frhs := EnvRing.PEX 3
           |} tt) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 1;
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs := EnvRing.PEX 8
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs :=
                  EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 2);
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs := EnvRing.PEX 3
              |} tt)) in
    __x4 + __x2 <= __x3 -> __x1 <= __x4 -> __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))