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: |
|---|---|---|---|
| in-mod-samepath | proved | all subs proved | put-rec, in-rec, in-base, empty-rec, put-base, |
| in-one | proved | all subs proved | empty-rec, in-rec, |
| put-one | proved | all subs proved | put-base, put-rec, |
| sel-mod-samepath | proved | all subs proved | get-rec, in-rec, put-rec, in-base, get-base, put-base, |
| mod-same | proved | all subs proved | in-rec, put-rec, get-rec, in-base, put-base, get-base, |
| get-one | proved | all subs proved | get-base, get-rec, |
| get-base | axiom | ||
| get-rec | axiom | ||
| put-base | axiom | ||
| empty-rec | axiom | ||
| in-base | axiom | ||
| in-rec | axiom | ||
| put-rec | axiom |