Goal:
  
  __p1 : Prop
  __x3 : BinNums.Z
  __x2 : BinNums.Z
  __x1 : BinNums.Z
  __wit := [ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn BinNums.Z 3)
                 (RingMicromega.PsatzAdd
                    (RingMicromega.PsatzMulC
                       (EnvRing.Pc (BinNums.Zneg BinNums.xH))
                       (RingMicromega.PsatzIn BinNums.Z 2))
                    (RingMicromega.PsatzIn BinNums.Z 0)))
              ZMicromega.DoneProof;
            ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn BinNums.Z 2)
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn BinNums.Z 1)
                    (RingMicromega.PsatzIn BinNums.Z 0)))
              ZMicromega.DoneProof;
            ZMicromega.RatProof
              (RingMicromega.PsatzAdd
                 (RingMicromega.PsatzMulC
                    (EnvRing.Pc (BinNums.Zneg BinNums.xH))
                    (RingMicromega.PsatzIn BinNums.Z 2))
                 (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.OR
               (Tauto.AND (Tauto.X Tauto.isProp __p1)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEX (BinNums.xO BinNums.xH);
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs :=
                         EnvRing.PEsub
                           (EnvRing.PEadd
                              (EnvRing.PEadd
                                 (EnvRing.PEX (BinNums.xI BinNums.xH))
                                 (EnvRing.PEc (BinNums.Zpos BinNums.xH)))
                              (EnvRing.PEX BinNums.xH))
                           (EnvRing.PEadd
                              (EnvRing.PEadd
                                 (EnvRing.PEX (BinNums.xI BinNums.xH))
                                 (EnvRing.PEc BinNums.Z0))
                              (EnvRing.PEc (BinNums.Zpos BinNums.xH)))
                     |} tt))
               (Tauto.AND
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEsub
                           (EnvRing.PEadd
                              (EnvRing.PEadd
                                 (EnvRing.PEX (BinNums.xI BinNums.xH))
                                 (EnvRing.PEc (BinNums.Zpos BinNums.xH)))
                              (EnvRing.PEX BinNums.xH))
                           (EnvRing.PEadd
                              (EnvRing.PEadd
                                 (EnvRing.PEX (BinNums.xI BinNums.xH))
                                 (EnvRing.PEc BinNums.Z0))
                              (EnvRing.PEc (BinNums.Zpos BinNums.xH)));
                       RingMicromega.Fop := RingMicromega.OpLe;
                       RingMicromega.Frhs := EnvRing.PEc BinNums.Z0
                     |} tt)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEX (BinNums.xO BinNums.xH);
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs := EnvRing.PEc BinNums.Z0
                     |} tt))) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEc BinNums.Z0;
                    RingMicromega.Fop := RingMicromega.OpLe;
                    RingMicromega.Frhs := EnvRing.PEX BinNums.xH
                  |} tt) None
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                    RingMicromega.Fop := RingMicromega.OpEq;
                    RingMicromega.Frhs := EnvRing.PEX (BinNums.xO BinNums.xH)
                  |} tt))
       : Tauto.BFormula (RingMicromega.Formula BinNums.Z) Tauto.isProp
  ============================
   (__p1
    ∧ __x2 =
      BinInt.Z.sub
        (BinInt.Z.add (BinInt.Z.add __x3 (BinNums.Zpos BinNums.xH)) __x1)
        (BinInt.Z.add (BinInt.Z.add __x3 BinNums.Z0)
           (BinNums.Zpos BinNums.xH))
    ∨ BinInt.Z.le
        (BinInt.Z.sub
           (BinInt.Z.add (BinInt.Z.add __x3 (BinNums.Zpos BinNums.xH)) __x1)
           (BinInt.Z.add (BinInt.Z.add __x3 BinNums.Z0)
              (BinNums.Zpos BinNums.xH))) BinNums.Z0 ∧ 
      __x2 = BinNums.Z0 → BinInt.Z.le BinNums.Z0 __x1 → __x1 = __x2)


DEBUG:Going to execute:
<coq-core.plugins.ltac::exact@0> $1

File "./theories/MCList.v", line 511, characters 10-20:
Warning: Notation app_length is deprecated since 8.20.
Use length_app instead.
[deprecated-syntactic-definition-since-8.20,deprecated-since-8.20,deprecated-syntactic-definition,deprecated,default]