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: |
|---|---|---|---|
| ls-push | proved | all subs proved | ls-unique, ls-rec, ls-base, |
| ls-unique | proved | all subs proved | ls-unique-strng, |
| ls-unique-strng | proved | all subs proved | ls-rec, ls-null, ls-base, |
| owner-lst1 | proved | all subs proved | ls-rec, ls-base, ex-lst-shift, lst-rec, |
| lst-in-hp | proved | all subs proved | ls-rec, ls-base, ex-lst-shift, lst-rec, |
| lst-null | proved | all subs proved | ls-null, lst-def, |
| lst-rec | proved | all subs proved | lst-def, |
| ex-lst-shift | proved | all subs proved | ex-lst, |
| ls-null | proved | all subs proved | ls-rec, ls-base, |
| ls-one | proved | all subs proved | ls-base, ls-rec, |
| owner-ls1 | proved | all subs proved | ls-rec, ls-base, |
| ls-unfold1 | proved | all subs proved | ls-rec, ls-base, |
| ls-fold1 | proved | all subs proved | ls-rec, |
| precise-ls | proved | all subs proved | ls-rec, ls-base, |
| ls-unfold2 | proved | all subs proved | ls-rec, |
| ex-lst | axiom | ||
| lst-def | axiom | ||
| ls-base | axiom | ||
| ls-rec | axiom |