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: |
|---|
| orderedls-append2-split | proved | all subs proved
| ordered-append-split1,
|
| ordered-last3 | proved | all subs proved
| orderedls-le-attach,
ordered-append-split1,
|
| ordered-append-split1 | proved | all subs proved
| orderedls-twolast,
ls-r,
ls-o,
cons,
ordered-append-split2,
|
| orderedls-twolast | proved | all subs proved
| ordered-attach,
|
| ordered-ordered-subset-ordered | proved | all subs proved
| orderedls-le,
ordered-append-second,
ordered-append-split2,
ordered-append,
|
| ordered-sublist2 | proved | all subs proved
| orderedls-le,
ordered-append-second,
ordered-append,
|
| ordered-append-second | proved | all subs proved
| ls-e,
ordered-append,
|
| ordered-attach | proved | all subs proved
| ls-o,
ordered-append,
|
| ordls-append | proved | all subs proved
| ls-e,
ordered-append,
|
| ordered-append | proved | all subs proved
| ordered-append-split2,
|
| ole-last-01 | proved | all subs proved
| ole-last,
|
| orderedle-twolast | proved | all subs proved
| app,
ole-last,
|
| ordered-last2 | proved | all subs proved
| ols-two,
ordered-append-split2,
|
| ordered-nodup | proved | all subs proved
| orderedls-le,
ordered-append-split2,
|
| ordered-last1 | proved | all subs proved
| ordered-append-split2,
|
| ordered-sublist | proved | all subs proved
| ordered-append-first,
ordered-append-split2,
|
| ordle-append | proved | all subs proved
| orderedle-append2-split,
app,
orderedle-append,
app-01,
cons-02,
|
| orderedle-append2-split | proved | all subs proved
| le-r,
app,
orderedle-append,
cons-02,
app-01,
|
| ordered-append-split2 | proved | all subs proved
| ols-rec,
ls-r,
ordered-append-first,
orderedCombined-Two-Lists,
|
| ole-last | proved | all subs proved
| le-o,
le-r,
ole-in,
ole-rec,
app-02,
app,
app-01,
cons-02,
ole-two,
|
| orderedls-eq-attach | proved | all subs proved
| orderedls-le-attach,
|
| ordered-ex-divide-lsle | proved | all subs proved
| orderedle-ls,
app-01,
cons-02,
le-e,
|
| ordered-ex-divide-lels | proved | all subs proved
| orderedle-ls,
app-01,
cons-02,
le-e,
|
| perm-ins | proved | all subs proved
| del1-02,
in-04,
insperm-01,
|
| orderedle-all | proved | all subs proved
| orderedle-ls,
cons-02,
le-o,
ole-rec,
le-e,
|
| insperm-01 | proved | all subs proved
| insperm,
|
| orderedle-append | proved | all subs proved
| k-le-r,
app,
le-r,
le-o,
cons-02,
le-e,
|
| orderedCombined-Two-Lists | proved | all subs proved
| ols-rec,
ls-r,
ls-o,
cons,
|
| ordered-append-first | proved | all subs proved
| ls-r,
ls-o,
ols-rec,
ls-e,
|
| orderedle-ls | proved | all subs proved
| cons-02,
ole-in,
|
| ols-two | proved | all subs proved
| ls-o,
ols-rec,
|
| app-02 | proved | all subs proved
| app-01,
cons-02,
app,
|
| orderedls-le-attach | proved | all subs proved
| orderedls-ls,
ols-rec,
|
| del1 | proved | all subs proved
| orderedls-ls,
ls-o,
ols-rec,
cons,
ls-e,
|
| insperm-02 | proved | all subs proved
| ins-y,
ins-n,
insperm,
ins-e,
|
| orderedls-ls-attach | proved | all subs proved
| orderedls-ls,
ols-rec,
|
| ins-less-first | proved | all subs proved
| ins-n,
app-01,
cons-02,
|
| sort-possible | proved | all subs proved
| del1-02,
in-04,
len,
ole-01,
le-e,
|
| orderedls-eq | proved | all subs proved
| orderedls-le,
|
| orderedls-all | proved | all subs proved
| orderedls-ls,
ls-o,
ols-rec,
ls-e,
|
| insperm-03 | proved | all subs proved
| insperm,
|
| ordered-shorter-sublist | proved | all subs proved
| ordered-prefix,
|
| ole | proved | all subs proved
| ole-01,
|
| ordered-prefix | proved | all subs proved
| k-le-r,
cons-02,
le-e,
|
| orderedls-le | proved | all subs proved
| orderedls-ls,
ls-r,
|
| ole-01 | proved | all subs proved
| cons-02,
le-r,
ins-y,
empty,
ole-rec,
ins-n,
le-o,
ins-e,
le-e,
|
| app-01 | proved | all subs proved
| cons-02,
|
| ole-in | proved | all subs proved
| le-r,
cons-02,
|
| app | proved | all subs proved
| le-r,
le-o,
ole-rec,
le-e,
|
| insperm | proved | all subs proved
| del1-02,
in-04,
|
| ols-rec | proved | all subs proved
| ls-r,
cons,
|
| del1-01 | proved | all subs proved
| le-r,
le-o,
ole-rec,
cons-02,
le-e,
|
| eq | proved | all subs proved
| ins-rec,
ins-y,
empty,
ins-n,
ins-e,
|
| del1-01-02 | proved | all subs proved
| ole-rec,
ins-y,
ins-n,
cons-02,
ins-e,
|
| ordered-postfix | proved | all subs proved
| le-r,
k-le-r,
le-e,
le-o,
ole-rec,
cons-02,
|
| cons-03 | proved | all subs proved
| ins-y,
le-r,
ins-e,
cons-02,
|
| one-02 | proved | all subs proved
| ins-one,
ins-one-01,
|
| rest-01 | proved | all subs proved
| cons-02,
|
| ins-less-last | proved | all subs proved
| ins-y,
ins-n,
ins-e,
ins-one-01,
|
| 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-one-02 | proved | all subs proved
| ins-one,
ins-y,
|
| ins-y-01 | proved | all subs proved
| ins-n,
ins-y,
|
| ins-one-01 | proved | all subs proved
| ins-y,
|
| ins-one | proved | all subs proved
| ins-e,
ins-n,
|
| len | proved | all subs proved
| ins-y,
ins-n,
ins-e,
|
| in-04 | proved | all subs proved
| ins-y,
ins-n,
ins-e,
|
| del1-02 | proved | all subs proved
| ins-y,
ins-n,
ins-e,
|
| ole-two | proved | all subs proved
| le-o,
le-r,
|
| empty | proved | all subs proved
| ins-y,
ins-n,
ins-e,
|
| ins-rec | proved | all subs proved
| ins-n,
|
| cons | proved | all subs proved
| ls-r,
ls-e,
ls-o,
|
| k-le-r | proved | all subs proved
| le-r,
le-o,
le-e,
|
| orderedls-ls | proved | all subs proved
| ls-r,
|
| cons-02 | proved | all subs proved
| le-r,
le-e,
le-o,
|
| ole-rec | proved | all subs proved
| le-r,
|
| szle1-orderedls | proved | all subs proved
| ls-o,
ls-e,
|
| in-01-02 | proved | all subs proved
| ins-y,
ins-n,
ins-e,
|
| ins-yes | proved | all subs proved
| ins-y,
|
| ex | proved | all subs proved
| ins-n,
ins-y,
ins-e,
|
| szle1-orderedle | proved | all subs proved
| le-o,
le-e,
|
| ins-e | axiom | | |
| ins-n | axiom | | |
| ins-y | axiom | | |
| ls-e | axiom | | |
| ls-o | axiom | | |
| ls-r | axiom | | |
| le-e | axiom | | |
| le-o | axiom | | |
| le-r | axiom | | |