Goal:
  
  __x2 : Z
  __x1 : Z
  __wit := [] : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty : VarMap.t Z
  __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))
       : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   ((0 < __x2 + 0 -> 0 < __x1) -> __x2 > 0 -> __x1 > 0)


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