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: |
|---|---|---|---|
| tr-unfold | proved | all subs proved | tr-rec, tr-base, tr-fold, |
| tr-fold | proved | all subs proved | tr-rec, |
| tr-fold-t | proved | all subs proved | tr-rec, |
| tr-branch | proved | all subs proved | tr-base, |
| tr-fold-singleton | proved | all subs proved | tr-base, tr-rec, |
| tr-null | proved | all subs proved | tr-rec, tr-base, |
| tr-base | axiom | ||
| tr-rec | axiom |