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: |
|---|---|---|---|
| ole-last-01 | proved | all subs proved | ole-last, |
| ole-last | proved | all subs proved | le-o, le-r, ole-in, ole-rec, app-02, app, app-01, cons-02, ole-two, |
| eqdef | proved | all subs proved | del1-01-01, del1-01, cons-02, app-01, |
| app-02 | proved | all subs proved | app-01, cons-02, app, |
| del1-01-01 | proved | all subs proved | orderedle-ls, le-r, app-01, del1-01, cons-02, |
| orderedle-all | proved | all subs proved | orderedle-ls, app-01, cons-02, le-o, ole-rec, le-e, |
| ordered-shorter-sublist | proved | all subs proved | ordered-prefix, |
| ordered-ex-divide-lsle | proved | all subs proved | orderedle-ls, cons-02, app-01, le-e, |
| ordered-ex-divide-lels | proved | all subs proved | orderedle-ls, cons-02, app-01, le-e, |
| ole | proved | all subs proved | ole-01, |
| ordered-prefix | proved | all subs proved | k-le-r, app-01, cons-02, le-e, |
| ole-01 | proved | all subs proved | app-01, cons-02, le-r, ins-y, empty, ole-rec, ins-n, le-e, le-o, ins-e, |
| del1-01 | proved | all subs proved | le-r, le-o, ole-rec, cons-02, app-01, le-e, |
| orderedle-ls | proved | all subs proved | cons-02, ole-in, |
| app | proved | all subs proved | le-r, le-o, ole-rec, app-01, cons-02, le-e, |
| perm-ins | proved | all subs proved | del1-02, in-04, insperm-01, |
| ordered-postfix | proved | all subs proved | le-r, k-le-r, le-e, le-o, ole-rec, cons-02, app-01, |
| ordered-append | proved | all subs proved | k-le-r, le-r, le-o, cons-02, app-01, le-e, |
| ins2 | proved | all subs proved | sw, |
| ins-less-first | proved | all subs proved | cons-03, ins-y, ins-n, app-01, cons-02, |
| del1-01-02 | proved | all subs proved | ole-rec, ins-y, eq, ins-n, cons-02, app-01, ins-e, |
| insperm-01 | proved | all subs proved | insperm, |
| k-le-r | proved | all subs proved | le-r, app-01, le-o, le-e, |
| ole-in | proved | all subs proved | le-r, app-01, cons-02, |
| sw | proved | all subs proved | ins-y-01, ins-y, ins-n, ins-one-02, ins-one-01, ins-one, ins-e, |
| cons-03 | proved | all subs proved | ins-y, le-r, ins-e, app-01, cons-02, |
| ole-rec | proved | all subs proved | le-r, app-01, |
| rest-01 | proved | all subs proved | app-01, |
| orderedls-all | proved | all subs proved | orderedls-ls, ls-o, ols-rec, ls-e, |
| one-02 | proved | all subs proved | ins-one-02, ins-one-01, |
| insperm-03 | proved | all subs proved | insperm, |
| insperm-02 | proved | all subs proved | ins-y, ins-n, insperm, ins-e, |
| del1 | proved | all subs proved | orderedls-ls, ls-o, ols-rec, cons, ls-e, |
| ins-one-02 | proved | all subs proved | ins-one, ins-y, |
| insperm | proved | all subs proved | del1-02, in-04, |
| eq | proved | all subs proved | in-04, ins-rec, ins-y, empty, ins-n, ins-e, |
| ols-rec | proved | all subs proved | ls-r, cons, |
| app-01 | proved | all subs proved | cons-02, |
| same | proved | all subs proved | ins-y, ins-y-01, |
| rest | proved | all subs proved | cons, |
| k-ls-r | proved | all subs proved | ls-r, cons, ls-o, ls-e, |
| ins-less-last | proved | all subs proved | ins-y, ins-n, ins-e, ins-one-01, |
| ins-y-01 | proved | all subs proved | ins-n, ins-y, |
| ole-two | proved | all subs proved | le-o, le-r, |
| del1-02 | proved | all subs proved | ins-y, ins-n, ins-e, |
| ins-one | proved | all subs proved | ins-e, ins-n, |
| ins-one-01 | proved | all subs proved | ins-y, |
| empty | proved | all subs proved | ins-y, ins-n, ins-e, |
| ins-rec | proved | all subs proved | ins-n, |
| in-04 | proved | all subs proved | ins-y, ins-n, ins-e, |
| cons | proved | all subs proved | ls-r, ls-e, ls-o, |
| orderedls-ls | proved | all subs proved | ls-r, ls-o, |
| cons-02 | proved | all subs proved | le-r, le-e, le-o, |
| len | proved | all subs proved | ins-y, ins-n, ins-e, |
| ins-yes | proved | all subs proved | ins-y, |
| in-01-02 | proved | all subs proved | ins-y, ins-n, ins-e, |
| ex | proved | all subs proved | ins-n, ins-y, ins-e, |
| ins-n | axiom | ||
| ins-e | axiom | ||
| ins-y | axiom | ||
| ls-o | axiom | ||
| ls-e | axiom | ||
| ls-r | axiom | ||
| le-e | axiom | ||
| le-o | axiom | ||
| le-r | axiom |