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: |
|---|---|---|---|
| twols | proved | all subs proved | nls-fst, one-03, s, oz, succ, c, a, |
| neq-02 | proved | all subs proved | c, a, s, less-05, |
| lsls | proved | all subs proved | l-05, c, a, |
| ls | proved | all subs proved | l, nls-fst, l-02, c, a, z, succ, |
| less-05 | proved | all subs proved | less, |
| l-05 | proved | all subs proved | nls-snd, succ, l-02, c, a, add-base, |
| nls-fst | proved | all subs proved | c, a, nls-snd, |
| q-01 | proved | all subs proved | pred, pe, eq-01, l-01, s, succ, c, a, z, |
| less-04 | proved | all subs proved | c, a, l, less, |
| between | proved | all subs proved | l-01, succ, succ-03, c, a, l, |
| addex | proved | all subs proved | eq-01, eq, one-01, s, oz, succ, c, a, l-01, |
| less | proved | all subs proved | l-03, c, a, l, |
| nls-snd | proved | all subs proved | c, a, l-02, |
| l-01 | proved | all subs proved | l-02, s, oz, succ, c, a, z, |
| two-02 | proved | all subs proved | z-01, two-01, succ, c, a, |
| three | proved | all subs proved | two-01, eq-01, one-03, oz, succ, c, a, |
| q | proved | all subs proved | eq, even, even-06, eq-01, c, a, oz, succ, |
| pls | proved | all subs proved | l, oz, succ, s, c, a, l-03, |
| lp | proved | all subs proved | c, a, l-02, succ, |
| less-03 | proved | all subs proved | l-03, c, a, l, |
| l-08 | proved | all subs proved | c, a, l-02, |
| ex-oddeven | proved | all subs proved | even, even-06, eq-01, succ, c, a, oz, |
| even-05 | proved | all subs proved | l-03, c, a, l-02, l, |
| even-02 | proved | all subs proved | l-04, l, oz, succ, z-01, c, a, l-03, |
| two-01 | proved | all subs proved | eq, one-01, one-03, oz, succ, c, a, |
| even-06 | proved | all subs proved | even, eq-01, z-01, succ, even-01, c, a, |
| l-02 | proved | all subs proved | z-01, l, c, a, oz, succ, |
| l-03 | proved | all subs proved | c, a, l, |
| neq | proved | all subs proved | l, s, oz, c, eq-01, a, succ, |
| less-06 | proved | all subs proved | c, a, l, |
| less-02 | proved | all subs proved | c, a, l, |
| less-01 | proved | all subs proved | c, a, l, |
| l-07 | proved | all subs proved | c, a, l, |
| l-06 | proved | all subs proved | c, a, l, |
| expand-nat | proved | all subs proved | c, a, l, |
| even-04 | proved | all subs proved | even-01, eq-01, succ, c, a, |
| even-01 | proved | all subs proved | one-02, succ, c, a, |
| l | proved | all subs proved | l-04, s, succ, c, a, z, |
| succ-03 | proved | all subs proved | c, a, s, |
| one-01 | proved | all subs proved | one-03, one-02, c, a, |
| pse | proved | all subs proved | pe, oz, one-03, c, pred, a, succ, |
| neq-01 | proved | all subs proved | c, a, s, |
| pe | proved | all subs proved | eq-01, c, pred, a, succ, |
| one-02 | proved | all subs proved | z-01, one-03, succ, z, c, a, |
| s | proved | all subs proved | l-addone, succ, c, a, oz, |
| two | proved | all subs proved | even, c, a, |
| one | proved | all subs proved | z-01, oz, one-03, succ, c, a, z, |
| l-addone | proved | all subs proved | succ, |
| pred | proved | all subs proved | eq-01, succ, c, a, z-01, |
| one-03 | proved | all subs proved | c, a, eq, |
| even | proved | all subs proved | oz, eq-01, succ, z-01, c, a, |
| ps | proved | all subs proved | c, a, z-01, succ, |
| pe-01 | proved | all subs proved | eq-01, succ, z, c, a, z-01, |
| eq-inc-neq | proved | all subs proved | c, a, z-01, eq, |
| succ | proved | all subs proved | c, a, z, add-rec, one-def, |
| oz | proved | all subs proved | c, a, z-01, |
| eq | proved | all subs proved | eq-01, c, a, z, |
| eqs | proved | all subs proved | c, a, eq-01, |
| c | proved | all subs proved | rec, add-rec, z, a, add-base, |
| a | proved | all subs proved | add-rec, eq-01, add-base, |
| eq-01 | proved | all subs proved | rec, z, |
| z-01 | proved | all subs proved | add-rec, add-base, |
| z | proved | all subs proved | add-rec, |
| rec | proved | all subs proved | add-rec, add-base, |
| one-def | proved | all subs proved | |
| l-04 | proved | all subs proved | |
| add-base | axiom | ||
| add-rec | axiom |