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: |
|---|---|---|---|
| fids-str | proved | all subs proved | fids-strpath, fids-in, |
| fids-strpath | proved | all subs proved | fids-path, fids-in, fids-ins, fids-emp, |
| fids-path | proved | all subs proved | fids-in, |
| fids-put1 | proved | all subs proved | fids-fnode, fids-ins, fids-dnode, fids-sub, |
| fids-del | proved | all subs proved | fids-fnode, fids-sub, fids-ins, fids-dnode, |
| fids-in | proved | all subs proved | fids-ins, fids-emp, fids-dnode, fids-fnode, |
| fids-sub | proved | all subs proved | fids-ins, fids-dnode, |
| fids-put3 | proved | all subs proved | fids-fnode, fids-ins, fids-dnode, |
| fids-put2 | proved | all subs proved | fids-fnode, fids-ins, fids-dnode, |
| fids-emp | axiom | ||
| fids-dnode | axiom | ||
| fids-ins | axiom | ||
| fids-fnode | axiom |