Goal:
  
  __x3 : BinNums.Z
  __x2 : BinNums.Z
  __x1 : BinNums.Z
  __wit := [ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn BinNums.Z 2)
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn BinNums.Z 1)
                    (RingMicromega.PsatzIn BinNums.Z 0)))
              ZMicromega.DoneProof] : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3)
           : VarMap.t BinNums.Z
  __ff := Tauto.IMPL
            (Tauto.A Tauto.isProp
               {|
                 RingMicromega.Flhs := EnvRing.PEc BinNums.Z0;
                 RingMicromega.Fop := RingMicromega.OpLe;
                 RingMicromega.Frhs := EnvRing.PEX (BinNums.xO BinNums.xH)
               |} tt) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                    RingMicromega.Fop := RingMicromega.OpLt;
                    RingMicromega.Frhs := EnvRing.PEX (BinNums.xI BinNums.xH)
                  |} tt) None
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                    RingMicromega.Fop := RingMicromega.OpLt;
                    RingMicromega.Frhs :=
                      EnvRing.PEadd
                        (EnvRing.PEadd (EnvRing.PEX (BinNums.xO BinNums.xH))
                           (EnvRing.PEX (BinNums.xI BinNums.xH)))
                        (EnvRing.PEc (BinNums.Zpos BinNums.xH))
                  |} tt))
       : Tauto.BFormula (RingMicromega.Formula BinNums.Z) Tauto.isProp
  ============================
   (BinInt.Z.le BinNums.Z0 __x2
    → BinInt.Z.lt __x1 __x3
      → BinInt.Z.lt __x1
          (BinInt.Z.add (BinInt.Z.add __x2 __x3) (BinNums.Zpos BinNums.xH)))


DEBUG:Going to execute:
exact
(ZMicromega.ZTautoChecker_sound __ff __wit
   (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
   (VarMap.find BinNums.Z0 __varmap))