Document 6ffc9680fbe00a58d70cdeb319f11205ed998131ce51bb96f16c7904faf74a3d
Base set
Let and : TpArr Prop TpArr Prop Prop := Prim 4
Let In : TpArr set TpArr set Prop := Prim 7
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 not : TpArr Prop Prop := Prim 3
Let atleast2 : TpArr set Prop := Prim 14
Let nat_p : TpArr set Prop := Prim 58
Let TransSet : TpArr set Prop := Prim 13
Let exactly2 : TpArr set Prop := Prim 19
Let equip : TpArr set TpArr set Prop := Prim 54
Let exactly4 : TpArr set Prop := Prim 21
Let atleast5 : TpArr set Prop := Prim 17
Let atleast3 : TpArr set Prop := Prim 15
Let PNoLe : TpArr set TpArr TpArr set Prop TpArr set TpArr TpArr set Prop Prop := Prim 85
Let PNoLt : TpArr set TpArr TpArr set Prop TpArr set TpArr TpArr set Prop Prop := Prim 84
Let atleast4 : TpArr set Prop := Prim 16
Let V_ : TpArr set set := Prim 63
Let exactly5 : TpArr set Prop := Prim 22
Let exactly3 : TpArr set Prop := Prim 20
Let SNo : TpArr set Prop := Prim 91
Let ordinal : TpArr set Prop := Prim 62
Let stricttotalorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 36
Let atleastp : TpArr set TpArr set Prop := Prim 53
Let atleast6 : TpArr set Prop := Prim 18
Let Sing : TpArr set set := Prim 43
Let SNoLev : TpArr set set := Prim 92
Let If_i : TpArr Prop TpArr set TpArr set set := Prim 37
Let PNo_upc : TpArr TpArr set TpArr TpArr set Prop Prop TpArr set TpArr TpArr set Prop Prop := Prim 87
Let Inj0 : TpArr set set := Prim 65
Let per_i : TpArr TpArr set TpArr set Prop Prop := Prim 30
Let nat_primrec : TpArr set TpArr TpArr set TpArr set set TpArr set set := Prim 59
Let Unj : TpArr set set := Prim 66
Let transitive_i : TpArr TpArr set TpArr set Prop Prop := Prim 28
Let set_of_pairs : TpArr set Prop := Prim 80
Let SNo_ : TpArr set TpArr set Prop := Prim 89
Let Union : TpArr set set := Prim 10
Let ap : TpArr set TpArr set set := Prim 74
Let ordsucc : TpArr set set := Prim 57
Let reflexive_i : TpArr TpArr set TpArr set Prop Prop := Prim 24
Let SNoEq_ : TpArr set TpArr set TpArr set Prop := Prim 93
Let SetAdjoin : TpArr set TpArr set set := Prim 45
Let irreflexive_i : TpArr TpArr set TpArr set Prop Prop := Prim 25
Let tuple_p : TpArr set TpArr set Prop := Prim 76
Let setsum_p : TpArr set Prop := Prim 75
Conj bountyprop_neg : Imp Ex X0 set Ap Ap and Ex X1 set Ap Ap and Ap Ap In X1 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ex X2 set Ap Ap and Ap Ap Subq X2 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap Ap and Ap not Ap atleast2 X2 Ap not Ap nat_p 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 Ex X1 set Ap Ap and Ap Ap and Ap TransSet X1 Ap not Ap exactly2 X1 Ex X2 set Imp All X3 set Imp Imp Ap not Ap Ap equip X3 Empty Ap Ap and Ap exactly2 X3 Ap exactly4 X2 Ap Ap and All X4 set Ap atleast5 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 All X4 set Imp Ap atleast3 X4 Ap Ap and Ap Ap and Imp Imp Ap Ap Ap Ap PNoLe X4 Lam X5 set Ap Ap and Imp Imp Ap Ap and Ap Ap Ap Ap PNoLt X2 Lam X6 set Ap exactly2 X6 X4 Lam X6 set Imp Ap Ap and Ap not Ap atleast4 Ap V_ X5 Imp Ap Ap and Ap not Ap atleast5 X5 Ap exactly5 X5 Imp Ap exactly3 X0 Ap Ap and Ap Ap and Ap exactly3 X6 Ap exactly2 X5 Ap Ap and Ap not Ap SNo X6 Ap Ap and Ap Ap and Ap SNo Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Imp Ap Ap and Imp Ap ordinal Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap Ap and Ap TransSet X5 Ap not Eq set Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty X6 Imp Imp 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 atleast3 X4 Ap not Ap atleast5 X5 Ap stricttotalorder_i Lam X7 set Lam X8 set Ap Ap atleastp X8 X7 Ap not Ap atleast6 X2 Ap Ap and Ap Ap atleastp Ap Sing X6 X3 Ap Ap and Ap exactly5 Empty Imp Ap ordinal Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap atleast5 Ap SNoLev Empty Ap Ap and Ap Ap and Ap not Ap atleast3 Empty Ap not Ap SNo X2 Ap Ap and Ap not Ap atleast3 X5 Ap Ap and Ap Ap and Ap Ap and Ap Ap and Imp Ap Ap and Ap atleast4 Ap Ap Ap If_i Ap Ap and Ap not Ap exactly5 X2 Ap not Ap atleast3 X4 Empty X4 Ap atleast5 X4 Imp Ap not Ap TransSet Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Imp Ap atleast2 X5 Ap not Ap atleast3 X5 Ap Ap and Ap Ap and Ap Ap Ap Ap PNoLt X5 Lam X6 set Imp Ap Ap equip X2 X2 Imp Imp Imp 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 Empty Ap not Ap exactly3 X3 Ap Ap and Ap TransSet X5 Ap SNo X5 Ap Ap and Ap atleast2 X6 Imp Ap not Ap exactly5 X1 Ap not Ap Ap Ap PNo_upc Lam X7 set Lam X8 TpArr set Prop Imp Ap Ap and Ap Ap and Ap not Ap X8 X4 Ap Ap and Ap X8 X6 Ap ordinal X6 Ap Ap and Ap Ap and Imp Ap not Ap atleast4 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 Subq Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty X0 Ap not Ap exactly3 Ap Inj0 X7 Ap Ap and Ap Ap and Ap X8 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap atleast6 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not 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 Ap not Ap atleast5 X7 Ap Ap and Ap exactly4 Ap V_ Empty Ap per_i Lam X9 set Lam X10 set Ap not Ap atleast4 X4 Ap Ap Ap nat_primrec Ap Unj X0 Lam X7 set Lam X8 set X2 X0 Lam X7 set Imp Ap Ap and Ap not Ap exactly2 X7 Ap nat_p X6 Ap Ap and Ap Ap equip X2 Empty Ap TransSet X7 X4 Lam X6 set Ap transitive_i Lam X7 set Lam X8 set Ap not Ap exactly4 X8 Imp Ap not Ap TransSet X4 Ap not Ap set_of_pairs X5 Ap exactly3 X0 Imp Imp Ap not Ap ordinal X0 Ap Ap and Imp Ap Ap and Ap Ap and Imp Imp Ap Ap and Ap Ap and Ap not Ap SNo X4 Ap not Ap atleast5 X4 Ap not Ap Ap atleastp X2 X1 Ap not Ap atleast5 X4 Imp Imp Imp Ap Ap SNo_ X4 X5 Ap not Ap exactly3 X5 Ap not Ap atleast2 X2 Ap not 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 Ap ordinal X5 Ap Ap and Imp Ap not Ap exactly3 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap nat_p X0 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 Ap atleastp X1 X4 Imp Ap not Ap nat_p Ap Union X4 Ap Ap and Ap atleast4 Empty Ap Ap and Ap Ap In Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty X0 Imp Ap set_of_pairs X5 Ap Ap and Ap atleast2 X5 Ap not Ap atleast3 Ap Ap ap Ap ordsucc X4 X4 Ap Ap and Ap atleast2 X4 Ap Ap and Ap ordinal X1 Imp Imp Ap atleast5 X0 Ap not Ap atleast6 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Imp Ap not Ap exactly4 Empty Ap not Ap atleast6 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap Ap and Imp Ap not Ap reflexive_i Lam X6 set Lam X7 set Ap atleast4 X0 Ap exactly2 Ap Unj X4 Ap exactly2 X4 Ap Ap and Ap not Ap atleast2 X4 Ap Ap and Imp Ap atleast5 X5 Ap not Ap atleast4 X5 Ap atleast4 X5 Ap Ap and Ap not Ap exactly3 X3 Ap atleast6 X4 Ap atleast6 X4 Ap nat_p Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty X4 Lam X5 set Imp Ap exactly5 X3 Imp Ap not Ap TransSet X5 Imp Ap not Ap exactly5 Empty Ap not Ap atleast6 X4 Ap TransSet X3 Ap Ap and Imp Ap Ap and Ap Ap and Imp Ap atleast4 X2 Imp Imp Ap exactly2 X1 Ap not Ap exactly2 X4 Ap Ap and Ap TransSet X3 Ap Ap Ap SNoEq_ X4 Ap Ap SetAdjoin X4 X2 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 not Ap exactly3 X1 Imp Imp Imp Ap not Ap atleast5 X1 Imp Ap not Ap irreflexive_i Lam X5 set Lam X6 set Imp Ap not Ap atleast4 Ap Inj0 X6 Ap exactly3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap Ap and Ap not Ap exactly5 Ap Ap ap X3 Empty Ap Ap and Imp Ap not Ap Ap equip X2 X0 Imp Imp Imp Ap not Ap exactly4 X4 Ap Ap and Ap atleast3 X2 Ap Ap and Ap exactly3 X0 Ap not Ap exactly4 X4 Imp Ap atleast2 X3 Ap ordinal X2 Imp Imp Ap not Ap atleast6 X3 Ap atleast4 X1 Ap atleast2 X3 Ap Ap tuple_p X4 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 ordinal X1 Imp Ap exactly3 X3 Ap Ap In X1 X4 Ap ordinal X2 Ap not Ap TransSet X4 Imp Imp Ap Ap and Imp Ap setsum_p X3 Ap Ap and Ap not Ap exactly4 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap not Ap atleast5 X3 Ap atleast2 X2 Imp Ap SNo X2 Ap not Ap nat_p X2 Ap not Ap exactly2 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap TransSet X4 Ap not Ap exactly3 X4 Ap Ap and Imp Ap Ap and Ap Ap and Ap not Ap atleast6 X3 Ap Ap and Ap not Ap atleast4 X2 Imp Ap atleast4 X4 Ap not Ap exactly2 Ap V_ X0 Ap Ap and Imp Ap atleast4 X0 Ap not Ap exactly2 X4 Ap not Ap nat_p Ap Union X3 Imp Imp Ap atleast2 X4 Ap Ap and Ap Ap and Ap reflexive_i Lam X5 set Lam X6 set Ap not Ap atleast3 X6 Ap atleast5 X2 Ap not Ap atleast5 X3 Ap Ap and Imp Ap Ap and Ap atleast4 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap atleast5 X3 Ap Ap and Ap atleast6 X2 Ap not Ap exactly4 X4 Ap Ap and Ap ordinal X4 Ap stricttotalorder_i Lam X5 set Lam X6 set Ap exactly3 X5 Ap Ap and Ap not Ap atleast5 X3 Ap not Ap TransSet X3 Ap exactly3 X3 Ex X3 set Ap Ap and Ap Ap Subq X3 Empty Ap exactly3 X1 All X0 Prop X0
