A lemma (entry) may depend on lemmas (entries) below its position, but never on lemmas above its position. This means the list is a topological order of the dependency graph. An entry 'all subs proved' means that all used lemmas are (transitively) proved.
| Name: | Status: | Subs proved? | Used: |
|---|---|---|---|
| violations-swap | proved | all subs proved | less-same, less-rec, violations-rec, violations-exists, |
| violations-exists | proved | all subs proved | less-rec, violations-rec, |
| less-same | proved | all subs proved | less-rec, |
| sorted-sorted-next-1-le | proved | all subs proved | partial-sorted, |
| sorted-sorted-next-0-le | proved | all subs proved | partial-sorted, |
| sorted-ordered | proved | all subs proved | partial-sorted, |
| sorted-next-1-swap | proved | all subs proved | partial-sorted, |
| sorted-next-1 | proved | all subs proved | partial-sorted, |
| sorted-next-0-swap | proved | all subs proved | partial-sorted, |
| sorted-next-0 | proved | all subs proved | partial-sorted, |
| sorted-1 | proved | all subs proved | partial-sorted, |
| sorted-0 | proved | all subs proved | partial-sorted, |
| violations-rec | axiom | ||
| partial-sorted | axiom | ||
| less-rec | axiom |