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: |
|---|---|---|---|
| rest | proved | all subs proved | app, rest-01, |
| injectivity | proved | all subs proved | one, |
| rest-01 | proved | all subs proved | app, append-rec, |
| one | proved | all subs proved | chartostring-01, |
| first | proved | all subs proved | first-01, |
| assoc | proved | all subs proved | append-rec, app, append-base, |
| chartostring-01 | proved | all subs proved | append-base, append-rec, chartostring, |
| first-01 | proved | all subs proved | append-rec, |
| app | proved | all subs proved | append-rec, append-base, |
| rest-one | proved | all subs proved | chartostring, |
| rec | proved | all subs proved | append-base, append-rec, chartostring, |
| one-01 | proved | all subs proved | chartostring, |
| first-one | proved | all subs proved | chartostring, |
| empty-01 | proved | all subs proved | append-rec, |
| empty | proved | all subs proved | append-rec, append-base, |
| chartostring | axiom | ||
| append-base | axiom | ||
| append-rec | axiom |