| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | set-basic | f | set → nat |
| . + . | nat-basic | f | nat × nat → nat |
| . ++ . | keyindex-set | f | set × keyindex → set |
| . +1 | nat-basic | f | nat → nat |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -- . | keyindex-set | f | set × keyindex → set |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . .idx | key-index | f | keyindex → nat |
| . .idx:= . | key-index | f | keyindex × nat → keyindex |
| . .key | key-index | f | keyindex → key |
| . .key:= . | key-index | f | keyindex × key → keyindex |
| . < . | binheap-key | p | key × key |
| . < . | nat-basic | p | nat × nat |
| . > . | nat | p | nat × nat |
| . \ . | set-union | f | set × set → set |
| . ∈ . | keyindex-set | p | keyindex × set |
| . ∩ . | set-union | f | set × set → set |
| . ∪ . | set-union | f | set × set → set |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | set-basic | p | set × set |
| { . } | keyindex-set | f | keyindex → set |
| ∅ | set-basic | c | set |
| key | binheap-key | s | |
| key | binheap-key | v | key |
| key-index | key-index | f | key × nat → keyindex |
| key0 | binheap-key | v | key |
| key1 | binheap-key | v | key |
| keyindex | key-index | s | |
| ki | key-index | v | keyindex |
| ki0 | keyindex-set | v | keyindex |
| ki1 | keyindex-set | v | keyindex |
| m | nat-basic | v | nat |
| m0 | key-index | v | nat |
| n | nat-basic | v | nat |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| nat | nat-basic | s | |
| s | set-basic | v | set |
| s0 | set-basic | v | set |
| s1 | set-basic | v | set |
| s2 | set-basic | v | set |
| set | set-basic | s |