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