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: |
|---|---|---|---|
| combine-ordered-sublists | proved | all subs proved | emptyp, Ordered, perm, ordered-perm-sort, |
| ordered-perm-sort | proved | all subs proved | sperm, eq, |
| two-01 | proved | all subs proved | one, rec, |
| two | proved | all subs proved | one, rec, |
| sort-02 | proved | all subs proved | rec, sort, |
| size-01 | proved | all subs proved | size, rec, |
| ole | proved | all subs proved | ins-02, appins, |
| one | proved | all subs proved | empty, rec, |
| sort | proved | all subs proved | ins, rec, empty, |
| size | proved | all subs proved | rec, empty, |
| eq | proved | all subs proved | rec, empty, |
| ins-02 | proved | all subs proved | Ordered, perm-01, rec, |
| emptyp | proved | all subs proved | rec, empty, |
| sort-append-three | proved | all subs proved | sperm, |
| sort-append | proved | all subs proved | sperm, |
| ins-01 | proved | all subs proved | rec, |
| del1 | proved | all subs proved | Ordered, rec, empty, |
| ins | proved | all subs proved | Ordered, perm, |
| sperm | proved | all subs proved | Ordered, perm, Perm, |
| appins | proved | all subs proved | Ordered, perm, |
| perm-01 | proved | all subs proved | perm, |
| rec | proved | all subs proved | Ordered, perm, |
| sort-01 | proved | all subs proved | Ordered, perm, |
| empty | proved | all subs proved | Perm, |
| perm | proved | all subs proved | Perm, |
| in | proved | all subs proved | Perm, |
| Perm | axiom | ||
| Ordered | axiom |