| Symbol | Specification | Kind | Type |
|---|---|---|---|
| . % . | int-div | pf | int × int → int with λ i, j. j ≠ 0 |
| . % . | nat-div | pf | nat × nat → nat with λ n, m. m ≠ 0 |
| . * . | int-mult | f | int × int → int |
| . * . | nat-mult | f | nat × nat → nat |
| . + . | int-basic2 | f | int × int → int |
| . + . | nat-basic | f | nat × nat → nat |
| . +1 | int-basic1 | f | int → int |
| . +1 | nat-basic | f | nat → nat |
| . - . | int-abs | f | int × int → int |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -1 | int-basic1 | f | int → int |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . / . | int-div | pf | int × int → int with λ i, j. j ≠ 0 |
| . / . | nat-div | pf | nat × nat → nat with λ n, m. m ≠ 0 |
| . < . | int-basic1 | p | int × int |
| . < . | nat-basic | p | nat × nat |
| . > . | int-abs | p | int × int |
| . > . | nat | p | nat × nat |
| . ≤ . | int-abs | p | int × int |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | int-abs | p | int × int |
| . ≥ . | nat | p | nat × nat |
| ~ . | int-abs | f | int → int |
| abs | int-abs | f | int → int |
| i | intnat | v | int |
| i→n | intnat | f | int → nat |
| int | int-basic1 | s | |
| j | intnat | v | int |
| m | intnat | v | nat |
| n | intnat | v | nat |
| n→i | intnat | f | nat → int |
| nat | nat-basic | s |