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: |
|---|---|---|---|
| sorted-eq-entry-strong | proved | all subs proved | sorted-eq-entry, |
| sorted-eq-entry | proved | all subs proved | sorted-all, |
| sorted-entry-lt-post | proved | all subs proved | sorted-lt-post, |
| sorted-branch-lt-post | proved | all subs proved | sorted-lt-post, |
| sorted-all | proved | all subs proved | sorted-rec, sorted-one, sorted-base, sorted-lt-h, |
| sorted-lt-post | proved | all subs proved | sorted-lt-h, |
| sorted-lt-pre | proved | all subs proved | sorted-lt-h, |
| sorted-lt | proved | all subs proved | sorted-lt-h, |
| sorted-lt-h | proved | all subs proved | sorted-rec, sorted-one, sorted-base, |
| sorted-rec1 | proved | all subs proved | sorted-rec, sorted-base, sorted-one, |
| keep-sorted | proved | all subs proved | sorted-rec, sorted-one, sorted-base, |
| sorted-base | axiom | ||
| sorted-one | axiom | ||
| sorted-rec | axiom |