Document 6ffc9680fbe00a58d70cdeb319f11205ed998131ce51bb96f16c7904faf74a3d
Base set
Let and : TpArr Prop TpArr Prop Prop := Prim 4
Let Subq : TpArr set TpArr set Prop := Prim 8
Let Empty : set := Prim 9
Let In : TpArr set TpArr set Prop := Prim 7
Let exactly4 : TpArr set Prop := Prim 21
Let atleast3 : TpArr set Prop := Prim 15
Let not : TpArr Prop Prop := Prim 3
Let set_of_pairs : TpArr set Prop := Prim 80
Let binrep : TpArr set TpArr set set := Prim 71
Let Power : TpArr set set := Prim 11
Let ordinal : TpArr set Prop := Prim 62
Let setsum_p : TpArr set Prop := Prim 75
Let nat_p : TpArr set Prop := Prim 58
Let atleast2 : TpArr set Prop := Prim 14
Let SNoLev : TpArr set set := Prim 92
Let SNoLt : TpArr set TpArr set Prop := Prim 94
Let SNo : TpArr set Prop := Prim 91
Let Sing : TpArr set set := Prim 43
Let exactly3 : TpArr set Prop := Prim 20
Let strictpartialorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 35
Let exactly2 : TpArr set Prop := Prim 19
Let PNo_downc : TpArr TpArr set TpArr TpArr set Prop Prop TpArr set TpArr TpArr set Prop Prop := Prim 86
Let SNo_ : TpArr set TpArr set Prop := Prim 89
Let atleast6 : TpArr set Prop := Prim 18
Let exactly5 : TpArr set Prop := Prim 22
Let atleast5 : TpArr set Prop := Prim 17
Let PNoLt_ : TpArr set TpArr TpArr set Prop TpArr TpArr set Prop Prop := Prim 83
Let TransSet : TpArr set Prop := Prim 13
Let trichotomous_or_i : TpArr TpArr set TpArr set Prop Prop := Prim 32
Let ordsucc : TpArr set set := Prim 57
Let equip : TpArr set TpArr set Prop := Prim 54
Let atleast4 : TpArr set Prop := Prim 16
Let exactly1of2 : TpArr Prop TpArr Prop Prop := Prim 38
Let reflexive_i : TpArr TpArr set TpArr set Prop Prop := Prim 24
Let stricttotalorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 36
Let PSNo : TpArr set TpArr TpArr set Prop set := Prim 90
Let totalorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 34
Let binunion : TpArr set TpArr set set := Prim 44
Let antisymmetric_i : TpArr TpArr set TpArr set Prop Prop := Prim 27
Let SNoLe : TpArr set TpArr set Prop := Prim 95
Let proj0 : TpArr set set := Prim 69
Let atleastp : TpArr set TpArr set Prop := Prim 53
Let V_ : TpArr set set := Prim 63
Let PNoLe : TpArr set TpArr TpArr set Prop TpArr set TpArr TpArr set Prop Prop := Prim 85
Let irreflexive_i : TpArr TpArr set TpArr set Prop Prop := Prim 25
Let Inj1 : TpArr set set := Prim 64
Let Union : TpArr set set := Prim 10
Let eqreln_i : TpArr TpArr set TpArr set Prop Prop := Prim 29
Let linear_i : TpArr TpArr set TpArr set Prop Prop := Prim 31
Let symmetric_i : TpArr TpArr set TpArr set Prop Prop := Prim 26
Let PNoEq_ : TpArr set TpArr TpArr set Prop TpArr TpArr set Prop Prop := Prim 82
Let tuple_p : TpArr set TpArr set Prop := Prim 76
Let transitive_i : TpArr TpArr set TpArr set Prop Prop := Prim 28
Let UPair : TpArr set TpArr set set := Prim 42
Let Unj : TpArr set set := Prim 66
Let Inj0 : TpArr set set := Prim 65
Conj bountyprop_neg : Imp Ex X0 set Ap Ap and Ap Ap Subq X0 Empty Ex X1 set Ap Ap and Imp Ex X2 set Ap Ap and Ap Ap Subq X2 X0 Ex X3 set Ap Ap and Ap Ap In X3 X2 All X4 set Imp Ap Ap Subq X4 X2 Imp Imp Ap Ap and Ap Ap and Ap Ap and Ap Ap and Imp Ap exactly4 Empty Ap atleast3 X4 Ap not Ap set_of_pairs 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 ordinal Empty Ap Ap and Ap not Ap setsum_p Empty Ap nat_p Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap atleast2 Empty Ap atleast2 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty All X2 set Imp Ap Ap In X2 X1 Ex X3 set Ex X4 set Imp Imp Ap not Ap setsum_p Ap SNoLev Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Imp Imp Ap Ap and Ap not Ap Ap SNoLt X4 X4 Ap not Ap SNo Ap Sing X2 Imp Imp Ap exactly4 Empty Imp Ap Ap and Imp Ap not Ap exactly3 X4 Imp Ap atleast3 X1 Imp Ap not Ap SNo X4 Ap Ap and Ap exactly4 X4 Ap not Ap strictpartialorder_i Lam X5 set Lam X6 set Imp Ap not Ap ordinal Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap ordinal X5 Ap Ap and Ap Ap and Ap exactly2 X2 Ap not Ap atleast3 X4 Ap Ap and Ap Ap Ap PNo_downc Lam X5 set Lam X6 TpArr set Prop Ap Ap and Ap X6 X4 Ap Ap and Ap Ap and Ap not Ap X6 X5 Ap Ap and Imp Imp Ap Ap and Ap not Ap X6 X1 Ap not Ap Ap Subq X2 X5 Ap not Ap ordinal X0 Imp Ap Ap and Ap Ap and Ap not Ap exactly3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap not Ap Ap SNo_ X0 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 not Ap atleast6 X5 Ap X6 Empty Ap not Ap X6 X4 Ap Ap and Ap not Ap X6 X5 Imp Ap X6 X5 Ap exactly3 X0 Ap not Ap exactly5 X3 X3 Lam X5 set Ap Ap and Imp Ap not Ap atleast5 Empty Ap not Ap Ap Ap PNoLt_ X5 Lam X6 set Ap not Ap atleast5 X6 Lam X6 set Ap TransSet X6 Ap exactly3 X2 Ap Ap and Imp Imp Ap trichotomous_or_i Lam X5 set Lam X6 set Ap atleast2 X4 Imp Ap Ap and Imp Ap not Ap atleast6 X4 Ap not Ap Ap Subq Ap ordsucc X4 X1 Imp Ap Ap and Ap Ap SNo_ X3 X0 Ap exactly2 X1 Ap Ap and Ap TransSet X0 Ap not Ap Ap equip X4 X4 Ap exactly5 X2 Imp Imp Imp Ap exactly3 X0 Ap atleast6 X4 Ap atleast4 X4 Ap Ap and Ap atleast4 X4 Ap not Ap Ap In X2 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap not Ap atleast2 X2 Ap not Ap TransSet Empty Ap Ap and Imp Ap Ap and Imp Ap not Ap Ap exactly1of2 Ap atleast2 X2 Ap Ap and Ap Ap and Ap Ap and Eq set X4 X3 Ap atleast5 X3 Ap not Ap atleast5 Empty Ap TransSet X3 Ap Ap and Ap exactly5 X2 Ap not Ap Ap In Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty X3 Ap Ap and Ap Ap and Ap Ap and Imp Ap Ap and Ap not Ap reflexive_i Lam X5 set Lam X6 set Ap ordinal Ap Power Ap Power Ap Power Ap Power Empty Imp Ap not Ap exactly2 Empty Ap atleast5 Empty Imp Ap atleast4 X1 Ap Ap and Imp Ap not Ap exactly3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap nat_p X3 Imp Imp Ap Ap and Imp Ap atleast6 X0 Ap SNo X3 Ap not Ap atleast3 X4 Ap exactly3 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Ap exactly3 X3 Ap exactly3 X3 Ap not Ap stricttotalorder_i Lam X5 set Lam X6 set Imp Ap atleast5 X6 Ap Ap and Ap ordinal X6 Imp Ap Ap and Ap Ap and Imp Ap setsum_p X2 Imp Ap TransSet X6 Ap atleast6 X6 Imp Ap Ap and Ap exactly4 Empty Imp Imp Imp Ap Ap and Ap atleast2 X1 Imp Ap nat_p X6 Ap Ap and Imp Imp Ap exactly5 X6 Ap Ap and Ap not Ap exactly4 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 atleast6 X6 Imp Ap atleast2 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap reflexive_i Lam X7 set Lam X8 set Ap not Ap atleast4 X8 Ap Ap and Imp Ap atleast6 X5 Ap Ap and Ap not Ap atleast3 X5 Ap nat_p X5 Ap Ap and Imp Ap not Ap exactly3 X0 Ap Ap and Ap not Ap nat_p X5 Imp Imp Ap not Ap TransSet Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap not Ap Ap Subq Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Imp Imp Imp Ap exactly4 Ap Sing Empty Imp Ap not Ap ordinal Ap Ap PSNo X5 Lam X7 set Imp Ap not Ap reflexive_i Lam X8 set Lam X9 set Ap not Ap exactly4 X9 Ap exactly4 X0 Ap exactly2 X5 Ap not Ap nat_p X5 Ap not Ap exactly3 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap exactly3 X6 Ap Ap and Ap nat_p X6 Ap not Ap Ap In X5 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap exactly5 X5 Ap exactly5 X6 Ap totalorder_i Lam X7 set Lam X8 set Imp Imp Ap not Ap TransSet X7 Ap nat_p X8 Ap exactly2 X6 Ap exactly3 Ap Ap binunion X6 X6 Ap Ap and Ap not Ap antisymmetric_i Lam X7 set Lam X8 set Ap not Ap set_of_pairs X3 Imp Ap Ap and Ap not Ap exactly2 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 X6 Ap atleast4 X2 Imp Ap Ap and Ap Ap and Ap not Ap SNo X0 Imp Ap Ap and Ap Ap SNoLe Ap proj0 X4 Empty Imp Ap exactly5 X3 Ap not Ap atleast5 X2 Ap Ap and Ap not Ap setsum_p X3 Imp Ap not Ap exactly2 X0 Imp Imp Imp Ap SNo X1 Imp Ap Ap and Imp Ap not Ap Ap SNo_ X4 X3 Imp Imp Ap Ap atleastp X4 Ap Sing X4 Ap ordinal X1 Imp Ap not Ap ordinal Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap and Ap atleast2 X4 Ap not Ap ordinal X4 Imp Ap SNo X2 Ap not Ap TransSet X4 Ap ordinal X4 Ap ordinal X3 Ap not Ap exactly5 X3 Ap Ap and Ap exactly2 X2 Ap atleast4 X3 Ap exactly2 X4 Ap SNo Ap V_ Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Ap and Ap not Ap atleast4 X2 Imp Ap exactly5 X4 Ap TransSet X4 Ap Ap and Ap Ap and Ap Ap and Ap Ap and Imp Imp Ap Ap and Ap set_of_pairs X1 Ap not Ap set_of_pairs Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap not Ap Ap Ap Ap PNoLe X1 Lam X5 set Imp Imp Ap SNo X4 Ap set_of_pairs X3 Ap ordinal X5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Lam X5 set Ap Ap and Ap not Ap reflexive_i Lam X6 set Lam X7 set Ap exactly4 X6 Ap not Ap exactly4 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Imp Ap not Ap atleast5 X1 Ap Ap and Ap atleast2 X2 Ap atleast6 X2 Ap exactly2 Empty Ap Ap and Ap not Ap Ap Subq X2 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Imp Ap not Ap exactly2 X1 Ap atleast5 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap not Ap atleast5 X2 Ap exactly4 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty Ap not Ap exactly5 X0 All X2 set All X3 set All X4 set Imp Ap Ap Subq X4 X2 Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap not Ap atleast6 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Imp Ap Ap and Ap not Ap atleast4 X4 Ap atleast4 X2 Ap atleast6 X0 Ap Ap and Ap not Ap exactly3 X3 Ap Ap and Ap not Ap atleast6 X1 Imp Ap not Ap atleast4 X3 Ap Ap and Ap Ap and Ap not Ap SNo Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Ap and Ap Ap and Ap Ap SNo_ X3 X3 Ap not Ap nat_p X4 Imp Imp Ap Ap and Ap not Ap irreflexive_i Lam X5 set Lam X6 set Ap nat_p X5 Ap not Ap ordinal X4 Ap Ap and Ap Ap and Imp Ap Ap and Ap Ap and Ap exactly2 Ap Inj1 X1 Ap Ap and Ap Ap and Ap Ap and Ap atleast3 X3 Ap setsum_p X4 Ap not Ap nat_p X4 Ap Ap and Ap not Ap exactly2 X3 Imp Imp Ap not Ap exactly3 X3 Ap not Ap exactly5 X4 Ap Ap and Ap not Ap TransSet Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap not Ap exactly5 X4 Ap not Ap ordinal X0 Ap nat_p X3 Ap not Ap nat_p X0 Imp Imp Ap Ap and Imp Imp Ap not Ap atleast6 X3 Ap atleast2 Ap Power Ap Power Ap Power Ap Power Empty Ap not Ap atleast3 X3 Ap nat_p Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Imp Ap not Ap SNo X3 Ap not Ap atleast5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap not Ap atleast2 X0 Ap not Ap Ap Ap Ap PNoLe X3 Lam X5 set Ap ordinal X4 X0 Lam X5 set Ap not Ap TransSet Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Imp Imp Imp Ap atleast3 X4 Ap not Ap atleast5 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 Ap and Imp Imp Imp Ap not Ap nat_p X1 Imp Ap Ap In X0 Empty Ap Ap and Ap not Ap nat_p X2 Ap not Ap exactly5 X3 Imp Ap not Ap exactly5 X2 Ap set_of_pairs Ap Union X1 Ap eqreln_i Lam X5 set Lam X6 set Imp Imp Imp Ap Ap and Imp Ap atleast2 X4 Imp Ap exactly5 X6 Ap not Ap exactly2 X5 Imp Ap not Ap ordinal X6 Ap Ap and Ap Ap and Ap Ap and Ap linear_i Lam X7 set Lam X8 set Ap exactly5 X8 Imp Ap symmetric_i Lam X7 set Lam X8 set Ap ordinal X8 Ap not Ap ordinal X6 Ap exactly2 X6 Ap exactly3 X6 Ap Ap equip X5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap Ap and Ap Ap and Ap not Ap strictpartialorder_i Lam X7 set Lam X8 set Ap Ap and Ap not Ap Ap SNoLt X7 Empty Imp Ap ordinal X7 Ap atleast3 X7 Imp Ap not Ap TransSet X3 Ap exactly5 X6 Ap Ap and Imp Ap not Ap Ap atleastp X5 X5 Ap Ap and Ap Ap and Ap not Ap TransSet Empty Ap Ap and Ap Ap and Imp Ap ordinal X1 Imp Ap Ap and Ap atleast6 X0 Ap not Ap Ap SNo_ X5 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap Ap and Ap atleast4 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap atleast2 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Imp Ap not Ap set_of_pairs X0 Ap exactly3 X5 Imp Imp Imp Imp Ap Ap and Ap atleast6 X5 Ap not Ap Ap Ap PNoEq_ X0 Lam X7 set Imp Imp Imp Ap not Ap TransSet X7 Imp Ap not Ap TransSet X4 Ap Ap and Ap Ap and Ap exactly5 Empty Imp Ap TransSet X0 Ap atleast2 X6 Imp Imp Ap Ap and Ap atleast3 X7 Ap not Ap setsum_p X6 Imp Ap not Ap ordinal X6 Ap atleast3 X1 Ap atleast5 Empty Ap Ap and Ap exactly4 X7 Ap Ap and Imp Imp Ap exactly3 Empty Ap ordinal X1 Ap not Ap atleast6 X7 Ap not Ap exactly2 X6 Ap TransSet X6 Lam X7 set Ap not Ap SNo Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Ap exactly4 X5 Ap not Ap exactly3 X6 Imp Ap Ap tuple_p X6 X6 Imp Imp Imp Ap not Ap atleast5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Ap exactly5 Ap Power X4 Imp Ap not Ap ordinal X0 Ap exactly2 X6 Ap Ap and Imp Imp Ap Ap and Ap not Ap atleast2 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap and Ap not Ap exactly2 X5 Ap Ap and Imp Ap reflexive_i Lam X7 set Lam X8 set Ap Ap and Ap not Ap exactly4 X8 Ap Ap and Ap not Ap TransSet X8 Imp Ap exactly4 X8 Ap not Ap transitive_i Lam X9 set Lam X10 set Ap Ap and Ap ordinal X4 Ap Ap and Ap TransSet X9 Imp Ap TransSet X9 Ap not Ap Ap In X10 X9 Ap Ap and Ap Ap and Ap exactly4 X6 Ap ordinal Ap Ap binrep X6 X5 Ap SNo X6 Imp Ap not Ap exactly5 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap not Ap atleast2 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 X4 X5 Ap Ap and Ap not Ap exactly2 X0 Imp Ap not Ap atleast5 X5 Ap exactly4 X6 Ap Ap and Ap not Ap TransSet X5 Imp Imp Imp Imp Imp Ap atleast3 X0 Ap TransSet X3 Ap Ap and Ap not Ap exactly3 X5 Imp Ap not Ap ordinal X0 Imp Ap atleast4 X0 Imp Ap setsum_p X6 Ap Ap and Ap not Ap atleast2 X2 Ap exactly2 Empty Imp Ap atleast3 X6 Ap TransSet Ap Ap UPair X5 X5 Ap not Ap atleast2 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 atleast5 X4 Ap Ap and Ap not Ap atleast4 X6 Ap atleast4 X6 Ap Ap and Ap Ap and Ap atleast5 X5 Ap exactly3 X6 Imp Ap not Ap setsum_p X5 Ap not Ap atleast4 X6 Ap not Ap exactly3 X5 Ap not Ap setsum_p 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 Power Ap Power Ap Power Ap Power Empty Ap Power Empty Imp Ap exactly2 Empty Ap TransSet X5 Ap Ap and Imp Imp Ap nat_p X5 Ap Ap and Ap not Ap exactly5 X5 Ap ordinal X0 Imp Imp Ap not Ap exactly2 Empty Imp Ap nat_p X0 Imp Imp Ap not Ap atleast4 X6 Ap set_of_pairs X5 Ap not Ap exactly3 X5 Ap not Ap exactly4 Ap Unj Ap Power X5 Imp Ap not Ap atleast3 X5 Ap Ap and Ap Ap and Ap atleast4 X6 Ap not Ap atleast2 X4 Ap Ap SNo_ X5 Ap Power X4 Ap not Ap exactly2 Ap ordsucc Ap Inj0 X4 Ap not Ap TransSet X3 Imp Ap not Ap atleast3 X1 Ap Ap and Imp Ap Ap and Ap not Ap atleast4 X4 Ap exactly4 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Imp Ap Ap and Ap Ap and Ap Ap and Ap SNo X4 Ap not Ap ordinal X0 Ap atleast3 X3 Ap Ap and Ap nat_p X4 Imp Ap nat_p Ap ordsucc X2 Ap not Ap nat_p Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap not Ap atleast2 X4 Ap not Ap Ap equip 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 X4 Imp Imp Imp Ap ordinal Empty Imp Ap not Ap reflexive_i Lam X5 set Lam X6 set Ap Ap and Ap nat_p X5 Imp Ap Ap Ap Ap PNoLe X2 Lam X7 set Imp Ap TransSet X6 Imp Imp Imp Imp Imp Ap nat_p X7 Imp Ap atleast4 Ap Ap UPair X2 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Ap and Ap not Ap atleast5 X0 Imp Ap exactly5 X0 Ap not Ap nat_p X7 Ap Ap and Ap atleast2 X7 Imp Ap set_of_pairs X6 Ap not Ap atleast6 Ap Power Ap Power Ap Power Ap Power Empty Ap setsum_p X4 Ap atleast2 X7 Ap Ap and Ap exactly5 Empty Ap Ap In X2 X6 X6 Lam X7 set Imp Ap not Ap SNo Empty Ap atleast6 X7 Imp Imp Ap not Ap atleast4 X6 Ap not Ap nat_p X6 Ap not Ap Ap In X6 X6 Ap Ap and Ap not Ap atleast3 X4 Ap not Ap exactly4 Ap Ap binrep Ap Power Ap Power Ap Power Empty Empty Ap not Ap exactly3 Empty Ap Ap tuple_p X3 X0 Imp Ap Ap and Ap setsum_p X3 Ap atleast6 X3 Imp Ap exactly3 X1 Ap not Ap set_of_pairs X3 Imp Ap atleast6 X2 Ap not Ap nat_p X4 Ap Ap and Ap Ap atleastp X4 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Ap Ap and Ap atleast3 X4 Ap exactly5 X1 Ap not Ap exactly3 X2 All X0 Prop X0
