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: |
|---|---|---|---|
| pos-at | proved | all subs proved | s2l-length, s2l-one, s2l-app, |
| inject-s2l | proved | all subs proved | s2l-rec, s2l-empty-01, s2l-empty, |
| s2l-length | proved | all subs proved | s2l-one, s2l-app, s2l-empty, |
| s2l-empty-01 | proved | all subs proved | s2l-one, s2l-app, s2l-empty, |
| s2l-one | proved | all subs proved | s2l-empty, s2l-rec-01, |
| string2string | proved | all subs proved | l2s-one, l2s-app, s2l-rec, l2s-empty, s2l-empty, |
| sortedchars-no-dups | proved | all subs proved | s2l-empty, s2l-rec-01, s2l-app, |
| l2s-length | proved | all subs proved | l2s-one, l2s-app, l2s-empty, |
| s2l-rec-01 | proved | all subs proved | s2l-rec, |
| s2l-app | proved | all subs proved | s2l-rec, s2l-empty, |
| l2s-app | proved | all subs proved | l2s-rec, l2s-empty, |
| l2s-one | proved | all subs proved | l2s-empty, l2s-rec, |
| l2s-empty | axiom | ||
| l2s-rec | axiom | ||
| s2l-empty | axiom | ||
| s2l-rec | axiom |