| 1 | open Preamble |
|---|
| 2 | |
|---|
| 3 | open Hints_declaration |
|---|
| 4 | |
|---|
| 5 | open Core_notation |
|---|
| 6 | |
|---|
| 7 | open Pts |
|---|
| 8 | |
|---|
| 9 | open Logic |
|---|
| 10 | |
|---|
| 11 | open Bool |
|---|
| 12 | |
|---|
| 13 | open Relations |
|---|
| 14 | |
|---|
| 15 | open Nat |
|---|
| 16 | |
|---|
| 17 | type compare = |
|---|
| 18 | | LT |
|---|
| 19 | | EQ |
|---|
| 20 | | GT |
|---|
| 21 | |
|---|
| 22 | val compare_rect_Type4 : 'a1 -> 'a1 -> 'a1 -> compare -> 'a1 |
|---|
| 23 | |
|---|
| 24 | val compare_rect_Type5 : 'a1 -> 'a1 -> 'a1 -> compare -> 'a1 |
|---|
| 25 | |
|---|
| 26 | val compare_rect_Type3 : 'a1 -> 'a1 -> 'a1 -> compare -> 'a1 |
|---|
| 27 | |
|---|
| 28 | val compare_rect_Type2 : 'a1 -> 'a1 -> 'a1 -> compare -> 'a1 |
|---|
| 29 | |
|---|
| 30 | val compare_rect_Type1 : 'a1 -> 'a1 -> 'a1 -> compare -> 'a1 |
|---|
| 31 | |
|---|
| 32 | val compare_rect_Type0 : 'a1 -> 'a1 -> 'a1 -> compare -> 'a1 |
|---|
| 33 | |
|---|
| 34 | val compare_inv_rect_Type4 : |
|---|
| 35 | compare -> (__ -> 'a1) -> (__ -> 'a1) -> (__ -> 'a1) -> 'a1 |
|---|
| 36 | |
|---|
| 37 | val compare_inv_rect_Type3 : |
|---|
| 38 | compare -> (__ -> 'a1) -> (__ -> 'a1) -> (__ -> 'a1) -> 'a1 |
|---|
| 39 | |
|---|
| 40 | val compare_inv_rect_Type2 : |
|---|
| 41 | compare -> (__ -> 'a1) -> (__ -> 'a1) -> (__ -> 'a1) -> 'a1 |
|---|
| 42 | |
|---|
| 43 | val compare_inv_rect_Type1 : |
|---|
| 44 | compare -> (__ -> 'a1) -> (__ -> 'a1) -> (__ -> 'a1) -> 'a1 |
|---|
| 45 | |
|---|
| 46 | val compare_inv_rect_Type0 : |
|---|
| 47 | compare -> (__ -> 'a1) -> (__ -> 'a1) -> (__ -> 'a1) -> 'a1 |
|---|
| 48 | |
|---|
| 49 | val compare_discr : compare -> compare -> __ |
|---|
| 50 | |
|---|
| 51 | val compare_invert : compare -> compare |
|---|
| 52 | |
|---|
| 53 | type pos = |
|---|
| 54 | | One |
|---|
| 55 | | P1 of pos |
|---|
| 56 | | P0 of pos |
|---|
| 57 | |
|---|
| 58 | val pos_rect_Type4 : |
|---|
| 59 | 'a1 -> (pos -> 'a1 -> 'a1) -> (pos -> 'a1 -> 'a1) -> pos -> 'a1 |
|---|
| 60 | |
|---|
| 61 | val pos_rect_Type3 : |
|---|
| 62 | 'a1 -> (pos -> 'a1 -> 'a1) -> (pos -> 'a1 -> 'a1) -> pos -> 'a1 |
|---|
| 63 | |
|---|
| 64 | val pos_rect_Type2 : |
|---|
| 65 | 'a1 -> (pos -> 'a1 -> 'a1) -> (pos -> 'a1 -> 'a1) -> pos -> 'a1 |
|---|
| 66 | |
|---|
| 67 | val pos_rect_Type1 : |
|---|
| 68 | 'a1 -> (pos -> 'a1 -> 'a1) -> (pos -> 'a1 -> 'a1) -> pos -> 'a1 |
|---|
| 69 | |
|---|
| 70 | val pos_rect_Type0 : |
|---|
| 71 | 'a1 -> (pos -> 'a1 -> 'a1) -> (pos -> 'a1 -> 'a1) -> pos -> 'a1 |
|---|
| 72 | |
|---|
| 73 | val pos_inv_rect_Type4 : |
|---|
| 74 | pos -> (__ -> 'a1) -> (pos -> (__ -> 'a1) -> __ -> 'a1) -> (pos -> (__ -> |
|---|
| 75 | 'a1) -> __ -> 'a1) -> 'a1 |
|---|
| 76 | |
|---|
| 77 | val pos_inv_rect_Type3 : |
|---|
| 78 | pos -> (__ -> 'a1) -> (pos -> (__ -> 'a1) -> __ -> 'a1) -> (pos -> (__ -> |
|---|
| 79 | 'a1) -> __ -> 'a1) -> 'a1 |
|---|
| 80 | |
|---|
| 81 | val pos_inv_rect_Type2 : |
|---|
| 82 | pos -> (__ -> 'a1) -> (pos -> (__ -> 'a1) -> __ -> 'a1) -> (pos -> (__ -> |
|---|
| 83 | 'a1) -> __ -> 'a1) -> 'a1 |
|---|
| 84 | |
|---|
| 85 | val pos_inv_rect_Type1 : |
|---|
| 86 | pos -> (__ -> 'a1) -> (pos -> (__ -> 'a1) -> __ -> 'a1) -> (pos -> (__ -> |
|---|
| 87 | 'a1) -> __ -> 'a1) -> 'a1 |
|---|
| 88 | |
|---|
| 89 | val pos_inv_rect_Type0 : |
|---|
| 90 | pos -> (__ -> 'a1) -> (pos -> (__ -> 'a1) -> __ -> 'a1) -> (pos -> (__ -> |
|---|
| 91 | 'a1) -> __ -> 'a1) -> 'a1 |
|---|
| 92 | |
|---|
| 93 | val pos_discr : pos -> pos -> __ |
|---|
| 94 | |
|---|
| 95 | val pred : pos -> pos |
|---|
| 96 | |
|---|
| 97 | val succ : pos -> pos |
|---|
| 98 | |
|---|
| 99 | val nat_of_pos : pos -> Nat.nat |
|---|
| 100 | |
|---|
| 101 | val succ_pos_of_nat : Nat.nat -> pos |
|---|
| 102 | |
|---|
| 103 | val plus : pos -> pos -> pos |
|---|
| 104 | |
|---|
| 105 | val times : pos -> pos -> pos |
|---|
| 106 | |
|---|
| 107 | type minusresult = |
|---|
| 108 | | MinusNeg |
|---|
| 109 | | MinusZero |
|---|
| 110 | | MinusPos of pos |
|---|
| 111 | |
|---|
| 112 | val minusresult_rect_Type4 : 'a1 -> 'a1 -> (pos -> 'a1) -> minusresult -> 'a1 |
|---|
| 113 | |
|---|
| 114 | val minusresult_rect_Type5 : 'a1 -> 'a1 -> (pos -> 'a1) -> minusresult -> 'a1 |
|---|
| 115 | |
|---|
| 116 | val minusresult_rect_Type3 : 'a1 -> 'a1 -> (pos -> 'a1) -> minusresult -> 'a1 |
|---|
| 117 | |
|---|
| 118 | val minusresult_rect_Type2 : 'a1 -> 'a1 -> (pos -> 'a1) -> minusresult -> 'a1 |
|---|
| 119 | |
|---|
| 120 | val minusresult_rect_Type1 : 'a1 -> 'a1 -> (pos -> 'a1) -> minusresult -> 'a1 |
|---|
| 121 | |
|---|
| 122 | val minusresult_rect_Type0 : 'a1 -> 'a1 -> (pos -> 'a1) -> minusresult -> 'a1 |
|---|
| 123 | |
|---|
| 124 | val minusresult_inv_rect_Type4 : |
|---|
| 125 | minusresult -> (__ -> 'a1) -> (__ -> 'a1) -> (pos -> __ -> 'a1) -> 'a1 |
|---|
| 126 | |
|---|
| 127 | val minusresult_inv_rect_Type3 : |
|---|
| 128 | minusresult -> (__ -> 'a1) -> (__ -> 'a1) -> (pos -> __ -> 'a1) -> 'a1 |
|---|
| 129 | |
|---|
| 130 | val minusresult_inv_rect_Type2 : |
|---|
| 131 | minusresult -> (__ -> 'a1) -> (__ -> 'a1) -> (pos -> __ -> 'a1) -> 'a1 |
|---|
| 132 | |
|---|
| 133 | val minusresult_inv_rect_Type1 : |
|---|
| 134 | minusresult -> (__ -> 'a1) -> (__ -> 'a1) -> (pos -> __ -> 'a1) -> 'a1 |
|---|
| 135 | |
|---|
| 136 | val minusresult_inv_rect_Type0 : |
|---|
| 137 | minusresult -> (__ -> 'a1) -> (__ -> 'a1) -> (pos -> __ -> 'a1) -> 'a1 |
|---|
| 138 | |
|---|
| 139 | val minusresult_discr : minusresult -> minusresult -> __ |
|---|
| 140 | |
|---|
| 141 | val partial_minus : pos -> pos -> minusresult |
|---|
| 142 | |
|---|
| 143 | val minus : pos -> pos -> pos |
|---|
| 144 | |
|---|
| 145 | val eqb : pos -> pos -> Bool.bool |
|---|
| 146 | |
|---|
| 147 | val eqb_elim : pos -> pos -> (__ -> 'a1) -> (__ -> 'a1) -> 'a1 |
|---|
| 148 | |
|---|
| 149 | val leb : pos -> pos -> Bool.bool |
|---|
| 150 | |
|---|
| 151 | val pos_compare : pos -> pos -> compare |
|---|
| 152 | |
|---|
| 153 | val two_power_nat : Nat.nat -> pos |
|---|
| 154 | |
|---|
| 155 | val two_power_pos : pos -> pos |
|---|
| 156 | |
|---|
| 157 | val max : pos -> pos -> pos |
|---|
| 158 | |
|---|
