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: |
|---|---|---|---|
| put-at | proved | all subs proved | get-zero, put-succ, get-succ, get-rec, put-zero, |
| get-rec | proved | all subs proved | get-rec-01, |
| put-same | proved | all subs proved | putset-same, |
| get-rec-01 | proved | all subs proved | get-succ, |
| putset-same | proved | all subs proved | put-succ, get-succ, put-zero, get-zero, |
| put-at-eq | proved | all subs proved | get-succ, put-succ, get-zero, put-zero, |
| get-zero-01 | proved | all subs proved | get-zero, |
| extension | proved | all subs proved | get-succ, get-zero, |
| put-length | proved | all subs proved | put-succ, put-zero, |
| put-zero | axiom | ||
| get-succ | axiom | ||
| put-succ | axiom | ||
| get-zero | axiom |