| 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-pot | pf | int × int → int with λ i, j. i = 0 → j ≥ 0 |
| . ^2 | int-square | f | int → int |
| . ≤ . | 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 |
| even | int-min | p | int |
| i | int-pot | v | int |
| i→n | intnat | f | int → nat |
| int | int-basic1 | s | |
| j | int-pot | v | int |
| max | int-min | f | int × int → int |
| min | int-min | f | int × int → int |
| n→i | intnat | f | nat → int |
| nat | nat-basic | s | |
| odd | int-min | p | int |
| sgn | int-min | f | int → int |
| sqrt | int-square | pf | int → int with λ i. 0 ≤ i |