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


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