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: |
|---|---|---|---|
| inj-dll | proved | all subs proved | inj-dll-gen, dll, |
| inj-dll-gen | proved | all subs proved | dll-rec, dll-prev-null, dll-base, |
| dll-union | proved | all subs proved | dll-rec, dll-prev-null, dll-base, |
| precise-dll | proved | all subs proved | precise-dll-prev, dll, |
| dll-null | proved | all subs proved | dll-prev-null, dll, |
| dll-one | proved | all subs proved | dll-prev-one, dll, |
| dll-prev-one | proved | all subs proved | dll-base, dll-rec, |
| precise-dll-prev | proved | all subs proved | dll-rec, dll-base, |
| dll-prev-null | proved | all subs proved | dll-rec, dll-base, |
| dll-fold | proved | all subs proved | dll-rec, |
| ls-unfold2 | proved | all subs proved | dll-rec, |
| ls-unfold1 | proved | all subs proved | dll-rec, dll-base, |
| dll | axiom | ||
| dll-base | axiom | ||
| dll-rec | axiom |