Document 6ffc9680fbe00a58d70cdeb319f11205ed998131ce51bb96f16c7904faf74a3d
Base set
Let and : TpArr Prop TpArr Prop Prop := Prim 4
Let In : TpArr set TpArr set Prop := Prim 7
Let irreflexive_i : TpArr TpArr set TpArr set Prop Prop := Prim 25
Let not : TpArr Prop Prop := Prim 3
Let tuple_p : TpArr set TpArr set Prop := Prim 76
Let exactly5 : TpArr set Prop := Prim 22
Let binrep : TpArr set TpArr set set := Prim 71
Let Power : TpArr set set := Prim 11
Let Empty : set := Prim 9
Let Subq : TpArr set TpArr set Prop := Prim 8
Let atleast6 : TpArr set Prop := Prim 18
Let atleast2 : TpArr set Prop := Prim 14
Let TransSet : TpArr set Prop := Prim 13
Let exactly4 : TpArr set Prop := Prim 21
Let atleastp : TpArr set TpArr set Prop := Prim 53
Let ordinal : TpArr set Prop := Prim 62
Let SNo_ : TpArr set TpArr set Prop := Prim 89
Let setsum_p : TpArr set Prop := Prim 75
Let exactly2 : TpArr set Prop := Prim 19
Let atleast3 : TpArr set Prop := Prim 15
Let SNoLev : TpArr set set := Prim 92
Let SNoLe : TpArr set TpArr set Prop := Prim 95
Let nat_p : TpArr set Prop := Prim 58
Let atleast4 : TpArr set Prop := Prim 16
Let SNo : TpArr set Prop := Prim 91
Let atleast5 : TpArr set Prop := Prim 17
Let set_of_pairs : TpArr set Prop := Prim 80
Let Pi : TpArr set TpArr TpArr set set set := Prim 77
Let Union : TpArr set set := Prim 10
Let nat_primrec : TpArr set TpArr TpArr set TpArr set set TpArr set set := Prim 59
Conj bountyprop : Ex X0 set Ap Ap and All X1 set Ap Ap and All X2 set Imp Ap Ap In X2 X0 Ex X3 set Ap Ap and Ap irreflexive_i Lam X4 set Lam X5 set Ap not Ap Ap tuple_p X5 X5 Ap not Ap exactly5 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty All X2 set Imp Ap Ap and Ex X3 set Ap Ap and Ap Ap Subq X3 X1 Ap Ap and Ap Ap and Ex X4 set Ap Ap and Ap Ap In X4 X3 Ap Ap and Imp Ap atleast6 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap Ap and Imp Ap atleast2 X3 Ap Ap and Ap TransSet X3 Imp Imp Ap Ap and Ap exactly4 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Imp Ap Ap and Ap not Ap atleast6 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Ap and Ap exactly4 X4 Ap Ap atleastp X1 X1 Ap not Ap ordinal X3 Ap not Ap Ap In X3 X4 Ap not Ap Ap SNo_ X3 X3 Ap exactly5 X4 Ap setsum_p X1 Imp Ap not Ap exactly2 X0 Imp Ex X4 set Ap not Ap setsum_p X4 Ap exactly5 X2 All X4 set Imp Ap Ap Subq X4 X1 Imp Ap not Ap atleast3 X0 Ap not Ap exactly5 Ap SNoLev X3 Ex X3 set Ap Ap and All X4 set Imp Ap Ap and Ap Ap and Imp Imp Ap atleast3 X1 Ap Ap and Imp Ap not Ap Ap SNoLe Empty X1 Ap not Ap exactly2 X4 Ap exactly5 Empty Ap nat_p Empty Ap TransSet Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap Ap and Ap Ap and Ap Ap and Ap atleast4 X1 Ap exactly5 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Ap SNo X0 Ap nat_p Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty Ap Ap and Ap Ap and Imp Ap atleast5 X3 Ap not Ap Ap In X1 X2 Ap not Ap Ap In X2 X0 Ap Ap In Ap Ap binrep Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Empty X3 Imp Ap Ap and Ap atleast4 X3 Ap not Ap ordinal Empty Ex X4 set Ap Ap and Ap Ap In X4 X0 Imp Ap not Ap atleast4 X0 Ap not Ap nat_p X3 All X3 set Imp All X4 set Ap Ap and Ap setsum_p X2 Ap not Ap TransSet Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap Ap and Ap Ap and All X4 set Imp Ap Ap Subq X4 X1 Imp Imp Ap atleast2 X2 Ap Ap and Ap Ap and Ap set_of_pairs Empty Imp Imp Imp Ap not Ap TransSet X0 Imp Ap not Ap atleast3 X4 Ap atleast3 X4 Ap Ap and Ap not Ap exactly5 Empty Imp Ap not Ap exactly2 X2 Ap atleast3 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Ap ordinal X2 Ap ordinal Ap Ap Pi X3 Lam X5 set X4 Ap Ap and Ap atleast2 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap not Ap TransSet Ap Union X3 All X4 set Imp Ap atleast3 Ap Ap Ap nat_primrec X0 Lam X5 set Lam X6 set X5 X4 Ap not Ap ordinal X3 All X4 set Imp Ap Ap In X4 X1 Imp Ap not Ap Ap SNoLe X2 X3 Imp Imp Imp Ap not Ap atleast6 X3 Ap Ap and Ap not Ap atleast3 X3 Ap exactly4 X3 Ap set_of_pairs X0 Ap not Ap atleast5 X4 All X1 set All X2 set Imp Ap Ap Subq X2 X0 Ap exactly5 X1
