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: |
|---|---|---|---|
| ex-oddeven | proved | all subs proved | add-pred-01, eq, pred, add-in, succ-01, add-c, add-a, zero-07, |
| pls-04 | proved | all subs proved | add-c, add-a, nls, |
| rewz | proved | all subs proved | mone-01, add-c, add-a, mone-03, |
| pls-03 | proved | all subs proved | add-c, add-a, nls, |
| ttwo | proved | all subs proved | pls, add-c, add-a, nls, |
| mone-01 | proved | all subs proved | succ-01, add-c, add-a, add-less, mone-03, |
| nls | proved | all subs proved | pls, add-c, add-a, ls-01, |
| zero-07 | proved | all subs proved | zero-06, zero, add-c, add-a, |
| zero-03 | proved | all subs proved | add-c, add-a, add-less, ls, |
| ex-ls-add | proved | all subs proved | zero-02, eq, add-pred-01, add-in, ls-01, lst-03, succ-01, add-zero-rev, add-c, add-a, add-less, |
| pls-01 | proved | all subs proved | add-c, add-a, zero-01, ls, |
| plst | proved | all subs proved | pls, add-c, add-a, ls-add-both, |
| lst-05 | proved | all subs proved | add-c, pls, |
| zero | proved | all subs proved | add-c, add-a, ls-02, |
| pls | proved | all subs proved | lst-02, add-pred-01, lst-03, succ-01, add-c, add-a, ls, add-zero-rev, |
| zero-01 | proved | all subs proved | add-c, add-a, ls-02, |
| add-less | proved | all subs proved | add-c, add-a, ls-02, |
| pred | proved | all subs proved | add-c, add-a, add-in, succ-01, |
| add-succ-01 | proved | all subs proved | add-c, add-a, add-in, succ-01, |
| ls-succ-03 | proved | all subs proved | add-c, add-a, lst-03, ls, succ-01, |
| lst | proved | all subs proved | add-c, add-a, lst-04, |
| ls-succ-02 | proved | all subs proved | add-c, add-a, ls-add-both, succ-01, lst-02, ls-01, |
| plst-01 | proved | all subs proved | ls-01, lst-04, lst-01, add-c, add-a, lst-03, |
| ls-succ-01 | proved | all subs proved | add-c, add-a, ls-add-both, succ-01, lst-03, ls-01, |
| lst-01 | proved | all subs proved | add-c, add-a, ls-01, |
| zero-06 | proved | all subs proved | add-c, add-a, zero-05, |
| ls-02 | proved | all subs proved | add-c, add-a, add-zero-rev, ls-01, |
| lst-02 | proved | all subs proved | add-c, add-a, ls-01, |
| ls-add-both | proved | all subs proved | add-c, add-a, ls-01, |
| lst-04 | proved | all subs proved | add-c, add-a, ls-01, |
| mone-03 | proved | all subs proved | add-c, add-a, zero-05, |
| lst-03 | proved | all subs proved | add-c, add-a, ls-01, |
| add-in | proved | all subs proved | add-pred-01, succ-01, add-c, add-a, add-zero-rev, |
| neq-01 | proved | all subs proved | add-c, add-a, ls-01, |
| num-between | proved | all subs proved | add-c, add-a, ls-01, succ-01, |
| mthree | proved | all subs proved | add-c, add-a, zero-05, |
| succ | proved | all subs proved | add-c, add-a, eq, succ-01, |
| ls-zero | proved | all subs proved | add-c, add-a, ls-01, succ-01, |
| mone-02 | proved | all subs proved | succ-01, add-a, add-c, |
| zero-05 | proved | all subs proved | add-c, add-a, ls, |
| zero-02 | proved | all subs proved | add-c, add-a, ls, |
| ls-01 | proved | all subs proved | add-pred-01, add-succ-02, add-c, add-a, add-zero-rev, |
| succ-01 | proved | all subs proved | add-c, add-a, add-zero-rev, add-succ, |
| eq | proved | all subs proved | add-pred, add-succ, add-c, add-a, add-zero, |
| pls-02 | proved | all subs proved | add-c, add-a, ls, |
| ls-03 | proved | all subs proved | add-c, add-a, ls, |
| neq | proved | all subs proved | add-c, add-a, ls, |
| not-zero-pos | proved | all subs proved | add-c, add-a, ls, |
| add-c | proved | all subs proved | add-pred-01, add-pred, add-succ-02, add-succ, add-a, add-zero-rev, add-zero, |
| add-pred-01 | proved | all subs proved | add-succ-02, |
| add-succ-02 | proved | all subs proved | add-pred, add-succ, add-a, add-zero, |
| ls | proved | all subs proved | add-pred, add-succ, add-a, add-zero, |
| add-zero-rev | proved | all subs proved | add-pred, add-succ, |
| add-a | proved | all subs proved | add-pred, add-succ, add-zero, |
| add-zero | axiom | ||
| add-succ | axiom | ||
| add-pred | axiom |