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- Document 6ffc9680fbe00a58d70cdeb319f11205ed998131ce51bb96f16c7904faf74a3d
- Base set
- Let not : TpArr Prop Prop := Prim 3
- Let and : TpArr Prop TpArr Prop Prop := Prim 4
- Let In : TpArr set TpArr set Prop := Prim 7
- Let Subq : TpArr set TpArr set Prop := Prim 8
- Let Empty : set := Prim 9
- Let Power : TpArr set set := Prim 11
- Let atleast3 : TpArr set Prop := Prim 15
- Let atleast4 : TpArr set Prop := Prim 16
- Let atleast5 : TpArr set Prop := Prim 17
- Let atleast6 : TpArr set Prop := Prim 18
- Let nIn : TpArr set TpArr set Prop := Prim 40
- Let nSubq : TpArr set TpArr set Prop := Prim 41
- Let Sing : TpArr set TpArr set set := Prim 43
- Let binunion : TpArr set TpArr set set := Prim 44
- Let SetAdjoin : TpArr set TpArr set set := Prim 45
- Let binintersect : TpArr set TpArr set set := Prim 49
- Let setminus : TpArr set TpArr set set := Prim 50
- Let ordsucc : TpArr set set := Prim 57
- Def disj : TpArr set TpArr set Prop := Lam X set Lam Y set All Z set Imp Ap Ap In Z X Ap Ap nIn Z Y
- Def atleast7 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast6 Y Ap Ap nSubq X Y
- Def atleast8 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast7 Y Ap Ap nSubq X Y
- Def atleast9 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast8 Y Ap Ap nSubq X Y
- Def atleast10 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast9 Y Ap Ap nSubq X Y
- Def atleast11 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast10 Y Ap Ap nSubq X Y
- Def atleast12 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast11 Y Ap Ap nSubq X Y
- Def atleast13 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast12 Y Ap Ap nSubq X Y
- Def atleast14 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast13 Y Ap Ap nSubq X Y
- Def atleast15 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast14 Y Ap Ap nSubq X Y
- Def atleast16 : TpArr set Prop := Lam X set Ex Y set Ap Ap and Ap Ap and Ap Ap Subq Y X Ap atleast15 Y Ap Ap nSubq X Y
- Def c0001 : set := Ap ordsucc Empty
- Def c0002 : set := Ap Sing c0001
- Def c0003 : set := Ap ordsucc c0001
- Def c0004 : set := Ap Sing c0002
- Def c0005 : set := Ap Power c0002
- Def c0006 : set := Ap ordsucc c0002
- Def c0007 : set := Ap Ap binunion c0001 c0006
- Def c0008 : set := Ap Sing c0003
- Def c0009 : set := Ap Ap SetAdjoin c0001 c0003
- Def c000A : set := Ap Ap SetAdjoin c0002 c0003
- Def c000B : set := Ap ordsucc c0003
- Def c000C : set := Ap Ap SetAdjoin c0004 c0003
- Def c000D : set := Ap Ap SetAdjoin c0005 c0003
- Def c000E : set := Ap Ap SetAdjoin c0006 c0003
- Def c000F : set := Ap Power c0003
- Def c0010 : set := Ap Sing c0004
- Def c0011 : set := Ap Power c0004
- Def c0012 : set := Ap Ap SetAdjoin c0002 c0004
- Def c0014 : set := Ap ordsucc c0004
- Def c0018 : set := Ap Ap SetAdjoin c0008 c0004
- Def c001C : set := Ap Ap binunion c0008 c0014
- Def c0020 : set := Ap Sing c0005
- Def c0022 : set := Ap Ap SetAdjoin c0002 c0005
- Def c0024 : set := Ap Ap SetAdjoin c0004 c0005
- Def c0025 : set := Ap ordsucc c0005
- Def c0028 : set := Ap Ap SetAdjoin c0008 c0005
- Def c0030 : set := Ap Ap SetAdjoin c0010 c0005
- Def c0032 : set := Ap Ap setminus Ap Power c0005 c0001
- Def c0033 : set := Ap Power c0005
- Def c0034 : set := Ap Ap SetAdjoin c0014 c0005
- Def c0040 : set := Ap Sing c0006
- Def c0046 : set := Ap ordsucc c0006
- Def c0048 : set := Ap Ap SetAdjoin c0008 c0006
- Def c0050 : set := Ap Ap SetAdjoin c0010 c0006
- Def c0055 : set := Ap Power c0006
- Def c0060 : set := Ap Ap SetAdjoin c0020 c0006
- Def c0066 : set := Ap Ap binunion c0020 c0046
- Def c0073 : set := Ap Ap SetAdjoin c0033 c0006
- Def c0080 : set := Ap Sing c0007
- Def c0087 : set := Ap ordsucc c0007
- Def c00FF : set := Ap Power c0007
- Def c0100 : set := Ap Sing c0008
- Def c0101 : set := Ap Power c0008
- Def c0108 : set := Ap ordsucc c0008
- Def c0120 : set := Ap Ap SetAdjoin c0020 c0008
- Def c0128 : set := Ap Ap binunion c0020 c0108
- Def c0133 : set := Ap Ap SetAdjoin c0033 c0008
- Def c0140 : set := Ap Ap SetAdjoin c0040 c0008
- Def c0141 : set := Ap Ap binunion c0040 c0101
- Def c0146 : set := Ap Ap SetAdjoin c0046 c0008
- Def c0148 : set := Ap Ap binunion c0040 c0108
- Def c0155 : set := Ap Ap SetAdjoin c0055 c0008
- Def c01C8 : set := Ap Ap binunion c0080 c0148
- Def c0200 : set := Ap Sing c0009
- Def c0209 : set := Ap ordsucc c0009
- Def c0280 : set := Ap Ap SetAdjoin c0080 c0009
- Def c0303 : set := Ap Power c0009
- Def c0400 : set := Ap Sing c000A
- Def c040A : set := Ap ordsucc c000A
- Def c0480 : set := Ap Ap SetAdjoin c0080 c000A
- Def c0505 : set := Ap Power c000A
- Def c0600 : set := Ap Ap SetAdjoin c0200 c000A
- Def c0704 : set := Ap Ap setminus Ap Power c000B Ap ordsucc c000B
- Def c070F : set := Ap Ap setminus Ap Power c000B Ap Sing c000B
- Def c0784 : set := Ap Ap binunion c0080 c0704
- Def c0800 : set := Ap Sing c000B
- Def c0802 : set := Ap Ap SetAdjoin c0002 c000B
- Def c0804 : set := Ap Ap SetAdjoin c0004 c000B
- Def c0808 : set := Ap Ap SetAdjoin c0008 c000B
- Def c080B : set := Ap ordsucc c000B
- Def c080F : set := Ap Ap binunion c0004 c080B
- Def c0810 : set := Ap Ap SetAdjoin c0010 c000B
- Def c0814 : set := Ap Ap SetAdjoin c0014 c000B
- Def c0820 : set := Ap Ap SetAdjoin c0020 c000B
- Def c0840 : set := Ap Ap SetAdjoin c0040 c000B
- Def c0880 : set := Ap Ap SetAdjoin c0080 c000B
- Def c0900 : set := Ap Ap SetAdjoin c0100 c000B
- Def c0901 : set := Ap Ap SetAdjoin c0101 c000B
- Def c0908 : set := Ap Ap SetAdjoin c0108 c000B
- Def c090B : set := Ap Ap binunion c0100 c080B
- Def c0A00 : set := Ap Ap SetAdjoin c0200 c000B
- Def c0C00 : set := Ap Ap SetAdjoin c0400 c000B
- Def c0E07 : set := Ap Ap setminus Ap Power c000B c0108
- Def c0F00 : set := Ap Ap setminus Ap Power c000B c000F
- Def c0F0F : set := Ap Power c000B
- Def c0F1F : set := Ap Ap binunion c0010 c0F0F
- Def c0F2F : set := Ap Ap binunion c0020 c0F0F
- Def c0F3F : set := Ap Ap binunion c0033 c0F0F
- Def c0F4F : set := Ap Ap binunion c0040 c0F0F
- Def c0F5F : set := Ap Ap binunion c0055 c0F0F
- Def c1000 : set := Ap Sing c000C
- Def c100C : set := Ap ordsucc c000C
- Def c1020 : set := Ap Ap SetAdjoin c0020 c000C
- Def c1080 : set := Ap Ap SetAdjoin c0080 c000C
- Def c1111 : set := Ap Power c000C
- Def c2000 : set := Ap Sing c000D
- Def c200D : set := Ap ordsucc c000D
- Def c2080 : set := Ap Ap SetAdjoin c0080 c000D
- Def c3200 : set := Ap Ap setminus Ap Power c000D c0133
- Def c3333 : set := Ap Power c000D
- Def c4000 : set := Ap Sing c000E
- Def c4080 : set := Ap Ap SetAdjoin c0080 c000E
- Def c5400 : set := Ap Ap setminus Ap Power c000E c0155
- Def c5555 : set := Ap Power c000E
- Def c7FF0 : set := Ap Ap setminus Ap Power c000F Ap ordsucc c000F
- Def c8000 : set := Ap Sing c000F
- Def c800F : set := Ap ordsucc c000F
- Def c8010 : set := Ap Ap SetAdjoin c0010 c000F
- Def c8020 : set := Ap Ap SetAdjoin c0020 c000F
- Def c8040 : set := Ap Ap SetAdjoin c0040 c000F
- Def cFFFF : set := Ap Power c000F
- Conj disj_8488_21569 : Ap Ap disj Ap Ap SetAdjoin c0128 c000D Ap Ap setminus c5555 Ap Ap SetAdjoin c0014 c0008
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- Conj disj_8520_21524 : Ap Ap disj Ap Ap SetAdjoin c0148 c000D Ap Ap setminus c5555 c0141
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- Conj disj_1027_28864 : Ap Ap disj Ap Ap SetAdjoin c0003 c000A Ap Ap setminus c7FF0 c0F3F
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- Conj disj_1054_28832 : Ap Ap disj Ap Ap binunion c0014 c040A Ap Ap setminus c7FF0 c0F5F
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- Conj disj_536_28864 : Ap Ap disj Ap Ap SetAdjoin c0018 c0009 Ap Ap setminus c7FF0 c0F3F
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- Conj disj_3626_24576 : Ap Ap disj Ap Ap setminus c0F2F Ap Ap binunion c0004 c0101 Ap Ap SetAdjoin c2000 c000E
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