Document 6ffc9680fbe00a58d70cdeb319f11205ed998131ce51bb96f16c7904faf74a3d
Base set
Let Subq : TpArr set TpArr set Prop := Prim 8
Let Union : TpArr set set := Prim 10
Let binrep : TpArr set TpArr set set := Prim 71
Let Power : TpArr set set := Prim 11
Let Empty : set := Prim 9
Let and : TpArr Prop TpArr Prop Prop := Prim 4
Let In : TpArr set TpArr set Prop := Prim 7
Let not : TpArr Prop Prop := Prim 3
Let atleast6 : TpArr set Prop := Prim 18
Let tuple_p : TpArr set TpArr set Prop := Prim 76
Let exactly4 : TpArr set Prop := Prim 21
Let exactly3 : TpArr set Prop := Prim 20
Let SNo : TpArr set Prop := Prim 91
Let nat_p : TpArr set Prop := Prim 58
Let TransSet : TpArr set Prop := Prim 13
Let atleast2 : TpArr set Prop := Prim 14
Let exactly2 : TpArr set Prop := Prim 19
Let binintersect : TpArr set TpArr set set := Prim 49
Let exactly5 : TpArr set Prop := Prim 22
Let atleast4 : TpArr set Prop := Prim 16
Let setsum_p : TpArr set Prop := Prim 75
Let atleast5 : TpArr set Prop := Prim 17
Let equip : TpArr set TpArr set Prop := Prim 54
Let set_of_pairs : TpArr set Prop := Prim 80
Let ordinal : TpArr set Prop := Prim 62
Let SNoEq_ : TpArr set TpArr set TpArr set Prop := Prim 93
Let atleastp : TpArr set TpArr set Prop := Prim 53
Let UPair : TpArr set TpArr set set := Prim 42
Let binunion : TpArr set TpArr set set := Prim 44
Let reflexive_i : TpArr TpArr set TpArr set Prop Prop := Prim 24
Let SNoLe : TpArr set TpArr set Prop := Prim 95
Let Inj1 : TpArr set set := Prim 64
Let atleast3 : TpArr set Prop := Prim 15
Let binop_on : TpArr set TpArr TpArr set TpArr set set Prop := Prim 96
Let Unj : TpArr set set := Prim 66
Let SNo_ : TpArr set TpArr set Prop := Prim 89
Let antisymmetric_i : TpArr TpArr set TpArr set Prop Prop := Prim 27
Let per_i : TpArr TpArr set TpArr set Prop Prop := Prim 30
Let SNoElts_ : TpArr set set := Prim 88
Let partialorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 33
Let exactly1of3 : TpArr Prop TpArr Prop TpArr Prop Prop := Prim 39
Let proj1 : TpArr set set := Prim 70
Let SNoLt : TpArr set TpArr set Prop := Prim 94
Let proj0 : TpArr set set := Prim 69
Let Sep : TpArr set TpArr TpArr set Prop set := Prim 47
Let ap : TpArr set TpArr set set := Prim 74
Let V_ : TpArr set set := Prim 63
Let nat_primrec : TpArr set TpArr TpArr set TpArr set set TpArr set set := Prim 59
Let Inj0 : TpArr set set := Prim 65
Let bij : TpArr set TpArr set TpArr TpArr set set Prop := Prim 52
Let ordsucc : TpArr set set := Prim 57
Let Sing : TpArr set set := Prim 43
Let totalorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 34
Let Repl : TpArr set TpArr TpArr set set set := Prim 12
Let transitive_i : TpArr TpArr set TpArr set Prop Prop := Prim 28
Let lam2 : TpArr set TpArr TpArr set set TpArr TpArr set TpArr set set set := Prim 81
Let setminus : TpArr set TpArr set set := Prim 50
Let PNo_downc : TpArr TpArr set TpArr TpArr set Prop Prop TpArr set TpArr TpArr set Prop Prop := Prim 86
Let PNo_upc : TpArr TpArr set TpArr TpArr set Prop Prop TpArr set TpArr TpArr set Prop Prop := Prim 87
Let PNoEq_ : TpArr set TpArr TpArr set Prop TpArr TpArr set Prop Prop := Prim 82
Let setsum : TpArr set TpArr set set := Prim 68
Let PNoLe : TpArr set TpArr TpArr set Prop TpArr set TpArr TpArr set Prop Prop := Prim 85
Let lam : TpArr set TpArr TpArr set set set := Prim 72
Let exactly1of2 : TpArr Prop TpArr Prop Prop := Prim 38
Let setprod : TpArr set TpArr set set := Prim 73
Let PNoLt : TpArr set TpArr TpArr set Prop TpArr set TpArr TpArr set Prop Prop := Prim 84
Let PSNo : TpArr set TpArr TpArr set Prop set := Prim 90
Let SetAdjoin : TpArr set TpArr set set := Prim 45
Let eqreln_i : TpArr TpArr set TpArr set Prop Prop := Prim 29
Let stricttotalorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 36
Conj bountyprop_neg : Imp All X0 set Imp Ap Ap Subq X0 Ap Union Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Empty All X1 set All X2 set Ex X3 set Ap Ap and All X4 set Imp Ap Ap In X4 X0 Imp Ap not Ap atleast6 X4 Imp Imp Ap Ap and Imp Imp Ap not Ap Ap tuple_p X0 Empty Ap Ap and Ap Ap and Ap exactly4 X3 Ap exactly3 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty Ap SNo X3 Ap nat_p X0 Imp Ap atleast6 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Imp Imp Imp Ap not Ap exactly3 X3 Ap atleast6 X4 Ap TransSet X1 Imp Ap atleast2 X3 Ap exactly3 Empty Imp Imp Ap not Ap exactly4 X2 Ap not Ap exactly4 X3 Imp Imp Imp Imp Ap Ap and Ap not Ap atleast2 X2 Ap Ap and Ap exactly4 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap exactly4 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap Ap and Ap Ap and Imp Ap TransSet X4 Ap Ap In X0 X3 Imp Ap not Ap atleast6 X3 Ap Ap and Ap Ap and Ap Ap and 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 Imp Ap Ap and Ap Ap and Ap not Ap exactly2 Ap Ap binintersect X0 X1 Ap not Ap exactly5 Empty Ap exactly4 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Ap exactly5 X3 Ap Ap and Ap Ap and Ap Ap and Ap exactly2 X0 Ap Ap and Ap Ap and Imp Imp Ap Ap and Imp Imp Ap not Ap exactly2 X4 Ap not Ap Ap In X4 X2 Ap not Ap Ap Subq X3 X3 Ap not Ap atleast4 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap not Ap atleast2 X0 Ap not Ap setsum_p X3 Ap Ap and Ap atleast5 X4 Ap Ap and Imp Imp Ap not Ap Ap equip X3 X3 Imp Ap not Ap exactly3 Empty Ap Ap and Ap exactly3 X2 Ap Ap and Ap not Ap set_of_pairs X3 Ap not Ap exactly5 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap not Ap ordinal X4 Ap Ap and Imp Imp Ap Ap and Imp Imp Ap not Ap Ap In X3 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 nat_p X3 Ap Ap and Ap not Ap exactly2 X3 Imp Ap nat_p X3 Imp Ap not Ap exactly4 Empty Ap Ap and Ap not Ap Ap Ap SNoEq_ X3 X2 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Imp Ap not Ap atleast4 X4 Ap atleast5 X3 Ap not Ap ordinal Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap not Ap atleast4 X3 Ap Ap In X2 X3 Ap nat_p Empty Ap not Ap exactly4 X4 Ap not Ap atleast4 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap Ap and Imp Ap Ap atleastp X4 X3 Imp Ap not Ap TransSet X3 Imp Ap Ap and Ap not Ap exactly4 Ap Ap UPair X4 Empty Imp Ap Ap and Imp Imp Ap SNo Empty Ap not Ap atleast5 X4 Ap not Ap exactly5 X4 Ap nat_p X3 Ap SNo X3 Ap not Ap exactly3 X2 Ap not Ap atleast2 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 Ap Ap and Ap Ap and Imp Ap not Ap ordinal X0 Ap ordinal X4 Ap Ap and Ap Ap and Ap Ap and Ap Ap and Imp Ap not Ap exactly5 X0 Imp Ap atleast5 X4 Ap Ap and Imp Ap Ap and Ap Ap and Ap exactly2 X2 Imp Imp Ap set_of_pairs X3 Ap Ap and Ap not Ap atleast4 X3 Ap not Ap exactly3 X3 Ap TransSet Ap Ap binunion X2 X0 Ap not Ap exactly3 X3 Imp Imp Ap atleast6 X3 Ap not Ap reflexive_i Lam X5 set Lam X6 set Ap exactly3 X5 Ap Ap SNoLe X3 X3 Ap atleast6 Ap Inj1 Ap Power X4 Ap Ap and Imp Ap Ap and Ap Ap and Ap TransSet X4 Ap exactly5 Empty Ap reflexive_i Lam X5 set Lam X6 set Ap set_of_pairs X6 Ap exactly4 X0 Ap exactly3 X2 Imp Ap atleast6 X0 Ap not Ap atleast6 X4 Ap Ap and Ap Ap and Ap exactly4 X2 Ap atleast2 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty Ap exactly5 X2 Ap atleast5 X4 Ap not Ap atleast6 X4 Ap not 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 not Ap exactly4 X1 Ap Ap and Ap Ap binop_on X4 Lam X5 set Lam X6 set X0 Ap exactly5 X2 Imp Imp Ap Ap and Ap nat_p X3 Imp Ap exactly2 Empty Ap Ap and Ap Ap and Imp Imp Ap not Ap exactly3 X4 Ap Ap and Ap not Ap nat_p X3 Ap not Ap ordinal X3 Ap SNo X1 Ap SNo Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Imp Ap not Ap atleast5 X0 Imp Ap Ap and Ap not Ap atleast3 X4 Imp Ap atleast4 X3 Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap not Ap ordinal X4 Ap Ap and Ap exactly5 X4 Ap Ap and Ap not Ap Ap equip Ap Unj X1 Empty Imp Ap not Ap Ap In X3 Empty Imp Ap Ap equip X4 X4 Imp Ap Ap and Imp Imp Ap ordinal X4 Ap exactly5 X0 Ap Ap and Ap set_of_pairs X1 Ap Ap and Imp Ap Ap and Imp Ap not Ap TransSet X3 Ap Ap and Ap not Ap exactly5 X4 Imp Imp Ap Ap and Ap atleast6 Ap Inj1 X3 Ap ordinal X4 Ap not Ap atleast6 X4 Imp Imp Ap not Ap ordinal X4 Ap Ap and Ap Ap and Ap not Ap atleast6 X2 Ap not Ap atleast3 Empty Imp Imp Ap exactly5 X4 Ap not Ap exactly3 X2 Imp Imp Ap atleast6 X3 Ap Ap and Imp Ap exactly2 X3 Imp Ap atleast2 Empty Ap not Ap SNo X4 Ap not Ap TransSet X4 Ap Ap and Ap Ap and Ap not Ap Ap equip X4 X3 Ap Ap SNo_ Empty X3 Ap atleast4 X2 Imp Ap atleast2 X4 Ap Ap and Ap Ap and Imp Ap exactly3 X0 Ap exactly5 X3 Imp Ap not Ap nat_p X4 Ap atleast4 X4 Ap not Ap atleast6 X2 Ap Ap In X3 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 Ap and Ap Ap and Imp Ap ordinal X4 Imp Imp Ap not Ap atleast5 Empty Ap not Ap atleast6 X3 Ap not Ap ordinal X4 Ap not Ap nat_p Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap exactly3 X2 Ap antisymmetric_i Lam X5 set Lam X6 set Ap not Ap setsum_p X1 Ap Ap and Ap not Ap set_of_pairs X2 Ap Ap and Ap not Ap ordinal X2 Imp Ap exactly5 X1 Ap Ap and Ap Ap and Ap reflexive_i Lam X5 set Lam X6 set Imp Ap Ap and Ap nat_p X2 Ap not Ap exactly3 X6 Ap Ap and Ap Ap and Ap not Ap exactly4 X0 Imp Ap Ap and Ap atleast6 X5 Ap not Ap TransSet X6 Eq set Empty X6 Ap Ap and Ap Ap and Ap Ap and Imp Imp Ap not Ap per_i Lam X7 set Lam X8 set Ap atleast5 X1 Ap not Ap atleast2 X5 Ap not Ap exactly4 Empty Ap Ap and Ap Ap and Ap TransSet Ap SNoElts_ X5 Ap Ap In X1 X6 Imp Imp Imp Imp Ap not Ap partialorder_i Lam X7 set Lam X8 set Imp Imp Imp Imp Ap Ap and Ap ordinal X0 Ap not Ap SNo Empty Imp Ap atleast6 X7 Imp Ap Ap and Ap not Ap set_of_pairs X2 Imp Ap SNo X2 Imp Ap Ap and Ap Ap and Ap ordinal Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap not Ap atleast6 X0 Ap not Ap atleast6 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap and Imp Imp Imp Ap not Ap atleast5 X8 Ap not Ap Ap In X7 X7 Ap exactly5 Ap Union X4 Ap Ap and Ap not Ap atleast2 X7 Ap not Ap TransSet X6 Imp Imp Ap not Ap Ap Ap exactly1of3 Ap atleast3 X8 Ap exactly2 Ap proj1 X8 Ap Ap In X2 X7 Ap Ap and Ap Ap and Imp Ap not Ap Ap SNo_ X4 X8 Ap per_i Lam X9 set Lam X10 set Ap Ap and Ap atleast2 X6 Ap not Ap TransSet X10 Ap not Ap Ap SNoLt X5 X7 Ap not Ap exactly3 X4 Ap Ap and Ap exactly5 X8 Imp Ap Ap and Ap Ap In X7 X7 Imp Ap set_of_pairs X8 Ap Ap and Ap Ap and Ap not Ap atleast2 Ap proj0 X4 Ap atleast4 X7 Imp Ap not Ap atleast6 X8 Ap atleast3 X7 Imp Ap not Ap nat_p Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap not Ap set_of_pairs Ap Ap Sep X8 Lam X9 set Ap Ap and Ap not Ap Ap equip Empty X9 Ap not Ap atleast5 X6 Imp Ap not Ap ordinal X8 Ap Ap and Imp Ap atleast2 X2 Imp Imp Ap antisymmetric_i Lam X9 set Lam X10 set Imp Ap not Ap atleast3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap not Ap exactly3 Empty Ap not Ap atleast6 X6 Imp Ap atleast2 X8 Ap Ap and Ap Ap and Ap nat_p X8 Ap atleast3 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Empty Ap exactly2 X7 Ap atleast5 X7 Ap not Ap atleast4 X8 Ap atleast6 X1 Ap Ap and Imp Ap not Ap Ap In X8 X1 Ap not Ap atleast3 Ap Ap ap X7 X4 Imp Ap nat_p X1 Imp Ap not Ap atleast3 Ap V_ X1 Ap not Ap exactly2 X4 Ap atleast3 Empty Imp Ap Ap and Ap Ap and Ap not Ap atleast5 X0 Ap Ap and Ap Ap and Ap not Ap Ap Subq X5 X2 Ap not Ap setsum_p X0 Ap atleast3 X6 Ap ordinal X6 Imp Ap Ap and Eq set Ap SNoElts_ Ap Ap Ap nat_primrec X6 Lam X7 set Lam X8 set X8 Empty X1 Ap exactly3 X6 Ap exactly2 X5 Ap not Ap atleast3 Ap Inj0 X6 Ap Ap and Ap ordinal X4 Ap not Ap atleast4 X5 Ap ordinal X6 Imp Ap not Ap atleast4 X6 Ap not Ap exactly3 X6 Imp Ap exactly5 X2 Imp Imp Ap set_of_pairs X4 Imp Ap Ap In Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Empty X3 Ap Ap and Ap Ap and Ap Ap and Ap Ap Ap bij X3 X4 Lam X5 set X0 Ap Ap and Ap not Ap atleast3 X3 Ap Ap and Ap not Ap SNo Empty Ap SNo X2 Ap atleast5 X2 Imp Ap atleast6 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap Ap and Ap Ap and Ap not Ap atleast2 X3 Ap not Ap exactly2 X3 Ap Ap In X1 X2 Ap exactly5 X0 Ap Ap and Ap Ap and Ap not Ap atleast5 X4 Ap Ap and Ap not Ap atleast6 X2 Ap nat_p Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap setsum_p X3 Imp Ap Ap and Ap Ap and Ap not Ap atleast3 X2 Ap not Ap TransSet X4 Ap Ap and Imp Ap not Ap exactly3 Ap V_ Ap Union Ap ordsucc X4 Ap Ap and Imp Ap Ap and Imp Imp Imp Ap Ap and Ap TransSet X0 Ap TransSet Ap Sing X2 Imp Ap not Ap atleast4 X2 Ap Ap and Imp Imp Ap not Ap atleast3 X1 Ap atleast3 Empty Ap reflexive_i Lam X5 set Lam X6 set Ap Ap and Ap not Ap atleast6 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 Ap and Ap atleast6 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 antisymmetric_i Lam X7 set Lam X8 set Imp Imp Ap not Ap TransSet X7 Ap nat_p X8 Imp Ap Ap and Ap not Ap atleast6 X7 Ap atleast6 X4 Ap Ap and Ap ordinal X8 Ap nat_p X2 Ap atleast4 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 Imp Imp Ap atleast3 X2 Ap not Ap exactly3 X3 Ap exactly5 X3 Ap not Ap nat_p X3 Ap setsum_p Ap Sing X4 Ap nat_p Empty Ap ordinal X4 Ap Ap and Ap Ap and Ap Ap SNoLt X4 X4 Ap exactly5 Empty Ap not Ap exactly4 Empty Ap Ap and Ap Ap and Ap not Ap atleast6 X4 Imp Ap exactly3 X3 Ap Ap and Ap atleast5 X4 Ap Ap and Ap reflexive_i Lam X5 set Lam X6 set Imp Imp Ap Ap and Imp Ap not Ap nat_p X5 Imp Ap Ap and Ap not Ap ordinal X6 Ap Ap and Ap not Ap exactly2 X6 Ap setsum_p X5 Ap exactly3 X5 Imp Imp Ap exactly4 X6 Ap exactly5 X6 Ap Ap Subq X3 Empty Ap atleast6 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Ap not Ap exactly4 X5 Ap not Ap atleast6 X0 Ap Ap and Imp Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap SNo X3 Ap Ap and Imp Imp Ap not Ap atleast6 Ap V_ X4 Ap exactly3 Empty Ap totalorder_i Lam X5 set Lam X6 set Ap Ap and Ap not Ap nat_p X0 Ap not Ap reflexive_i Lam X7 set Lam X8 set Ap set_of_pairs X8 Imp Imp Ap atleast3 Ap Ap Repl X3 Lam X5 set Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap exactly5 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 Imp Ap atleast5 X3 Imp Ap not Ap exactly3 X4 Ap Ap and Imp Ap Ap and Ap exactly3 X4 Ap atleast6 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap not Ap atleast5 X1 Ap Ap and Ap not Eq set X3 X3 Ap not Ap atleast6 X3 Ap SNo Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap tuple_p X3 X2 Ap not Ap Ap tuple_p Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty X0 Ap not Ap exactly2 X2 Imp Imp Ap not Ap exactly3 X2 Ap Ap and Imp Ap Ap and Ap Ap In X4 X4 Ap Ap and Ap Ap and Ap Ap and Ap not Ap exactly2 X0 Ap not Ap nat_p X2 Imp Imp Ap Ap and Imp Ap not Ap exactly5 X0 Imp Ap Ap and Ap set_of_pairs X3 Ap Ap and Ap atleast2 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 Imp Ap Ap and Ap not Ap atleast4 X4 Ap ordinal X0 Ap not Ap atleast6 X4 Ap Ap Ap exactly1of3 Imp Ap nat_p X4 Ap Ap and Ap Ap and Ap Ap and Ap Ap In X4 X3 Ap exactly5 X3 Ap setsum_p X4 Imp Ap Ap and Imp Imp Ap not Ap TransSet X4 Ap Ap and Ap not Ap Ap SNo_ X4 X0 Imp Ap exactly3 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Imp Ap atleast2 X4 Ap Ap and Ap Ap and Ap Ap and Ap atleast3 X4 Ap not Ap atleast4 X4 Ap not Ap atleast5 X2 Ap Ap and Ap Ap and Ap not Ap atleast5 X4 Imp Ap atleast3 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap Ap and Ap Ap and Ap reflexive_i Lam X5 set Lam X6 set Ap Ap equip X6 X5 Ap not Ap ordinal X2 Ap atleast5 X0 Ap atleast3 Empty Ap not Ap ordinal X0 Ap Ap and Imp Ap exactly2 X3 Ap Ap and Imp Ap not Ap Ap In X3 X3 Ap Ap and Ap not Ap transitive_i Lam X5 set Lam X6 set Ap not Ap atleast4 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap nat_p X4 Ap exactly2 X3 Ap Ap and Ap not Ap Ap Subq X4 X3 Ap Ap and Imp Imp Imp Ap Ap and Ap Ap and Imp Ap not Ap exactly5 X4 Imp Ap not Ap atleast2 X3 Ap not Ap TransSet X2 Ap not Ap exactly3 X3 Imp Imp Imp Ap Ap and Imp Imp Ap Ap Ap SNoEq_ X3 X2 Empty Ap Ap and Ap not Ap exactly2 Empty Ap Ap and Ap set_of_pairs X0 Ap atleast2 Ap Power Ap Power Ap Power Ap Power Empty Ap Ap and Ap not Ap atleast2 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Imp Ap ordinal Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Ap set_of_pairs X3 Ap Ap and Imp Imp Imp Ap not Ap Ap In X2 Empty Ap Ap and Ap not Ap atleast5 X2 Ap not Ap atleast2 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap and Ap Ap and Ap not Ap exactly3 X4 Ap exactly4 X3 Ap Ap and Ap SNo Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap setsum_p X4 Ap not Ap TransSet Ap Inj1 X3 Ap Ap and Ap atleast5 X2 Ap Ap and Ap Ap SNoLe X1 X3 Ap not Ap TransSet Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap not Ap Ap binop_on X2 Lam X5 set Lam X6 set X5 Ap Ap and Ap not Ap exactly2 X0 Ap Ap and Ap atleast6 X1 Imp Imp Ap Ap and Ap Ap and Ap not Ap exactly5 X3 Ap not Ap atleast2 X3 Ap atleast4 Empty Ap Ap and Ap atleast2 X4 Ap Ap and Ap not Ap exactly4 X4 Ap atleast3 X0 Imp Ap set_of_pairs X1 Ap atleast4 X2 Imp Ap TransSet X4 Ap Ap and Ap Ap and Ap Ap and Imp Ap Ap and Ap not Ap exactly5 X1 Ap not Ap atleast6 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap Ap and Ap not Ap nat_p X3 Ap not Ap set_of_pairs X2 Ap Ap and Ap not Ap exactly5 X2 Imp Ap exactly3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap not Ap atleast3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap exactly5 X0 Ap Ap and Ap not Ap atleast2 Empty Ap atleast3 Ap Ap Ap lam2 X4 Lam X5 set Ap Power Ap Power Ap Power Ap Power Empty Lam X5 set Lam X6 set X0 Ap reflexive_i Lam X5 set Lam X6 set Imp Ap Ap and Imp Ap not Ap Ap SNoLt Empty Ap Ap setminus X6 X5 Ap not Ap ordinal X3 Ap exactly5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap Ap and Imp Ap Ap Subq X0 X6 Ap Ap and Imp Ap not Ap ordinal X6 Ap Ap and Ap Ap and Ap Ap and Ap not Ap exactly5 Empty Ap TransSet Ap V_ X5 Imp Ap not Ap atleast6 X2 Ap ordinal X5 Ap not Ap atleast6 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Empty Ap not Ap exactly4 X3 Ap Ap and Ap Ap In X4 X0 Imp Imp Ap not Ap setsum_p X0 Imp Ap partialorder_i Lam X7 set Lam X8 set Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap Ap Ap PNo_downc Lam X9 set Lam X10 TpArr set Prop Ap Ap and Ap not Ap atleast3 Empty Ap exactly3 X8 X2 Lam X9 set Ap exactly5 X9 Ap Ap and Ap exactly3 X8 Imp Ap Ap and Ap not Ap setsum_p Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Imp Ap not Ap atleast3 X7 Imp Ap atleast2 X8 Ap atleast6 X8 Imp Ap atleast2 X5 Ap not Ap atleast3 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty Ap not Ap atleast3 X5 Imp Imp Ap Ap and Imp Ap not Ap exactly2 X7 Ap not Ap set_of_pairs X3 Ap not Ap atleast3 X8 Ap Ap and Ap exactly2 X8 Ap Ap and Ap Ap and Imp Imp Ap exactly2 X8 Ap exactly3 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Empty Ap not Ap setsum_p Empty Imp Imp Ap not Ap exactly4 X2 Ap not Ap exactly4 X8 Ap exactly5 X7 Imp Ap Ap and Ap not Ap exactly2 X8 Ap atleast5 X7 Ap not Ap set_of_pairs X8 Ap Ap In X7 X4 Ap Ap and Ap exactly2 X7 Ap not Ap atleast4 X8 Ap Ap and Ap reflexive_i Lam X7 set Lam X8 set Imp Imp Imp Ap not Ap exactly3 X5 Ap Ap and Ap atleast2 X8 Imp Ap Ap and Ap Ap Ap bij X7 X7 Lam X9 set X9 Ap TransSet X7 Ap not Ap atleast3 X8 Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap not Ap atleast6 X1 Imp Imp Ap Ap equip X8 X7 Imp Imp Ap Ap and Ap not Ap atleast4 X0 Imp Imp Ap not Ap exactly3 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap atleast5 X7 Ap Ap and Imp Ap not Ap TransSet Empty Ap SNo X7 Imp Ap not Ap atleast4 X8 Ap not Ap nat_p X7 Ap Ap and Ap atleast6 X3 Ap Ap and Ap nat_p X5 Ap not Ap set_of_pairs X4 Ap not Ap atleast6 X7 Ap not Ap set_of_pairs X7 Ap atleast5 X8 Imp Ap Ap and Ap atleast5 X5 Imp Ap not Ap nat_p X7 Ap not Ap Ap SNo_ X7 X8 Ap not Ap reflexive_i Lam X9 set Lam X10 set Ap Ap and Ap not Ap exactly3 X1 Ap Ap and Ap exactly4 X9 Ap Ap tuple_p X10 X8 Imp Ap Ap and Ap not Ap atleast4 Empty Imp Ap not Ap set_of_pairs 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 X1 Ap Ap SNoLe X7 X8 Ap Ap and Ap TransSet X5 Imp Ap Ap In X7 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap exactly5 X5 Imp Ap not Ap set_of_pairs X6 Ap Ap and Ap Ap and Ap atleast5 X5 Ap transitive_i Lam X7 set Lam X8 set Ap exactly2 X7 Ap not Eq set Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Empty Imp Ap atleast3 X6 Ap set_of_pairs X5 Ap not Ap set_of_pairs X4 Imp Imp Ap not Ap exactly2 X3 Ap Ap Ap PNo_upc Lam X5 set Lam X6 TpArr set Prop Ap Ap and Ap not Ap atleast4 Ap Power Ap Power Ap Power Ap Power Empty Imp Ap Ap and Ap not Ap X6 Ap Inj0 X4 Ap Ap and Imp Imp Ap Ap and Ap exactly2 X4 Ap atleast2 Ap Inj1 X4 Ap not Ap atleast4 X4 Ap not Ap X6 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap X6 X5 Ap X6 X5 X3 Lam X5 set Ap exactly5 X4 Ap not Ap exactly4 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Imp Ap Ap and Ap not Ap atleast6 X1 Ap per_i Lam X5 set Lam X6 set Ap not Ap set_of_pairs X0 Ap exactly2 Empty Imp Ap setsum_p X0 Ap SNo Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap 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