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: |
|---|
| sw | proved | all subs proved
| eq-04,
|
| one | proved | all subs proved
| ne-02,
ne-01,
In-empty,
Extension,
in-04,
|
| eqtwo | proved | all subs proved
| in-04,
In-insert,
Extension,
|
| two-01 | proved | all subs proved
| ne-02,
ne-01,
in-04,
Extension,
|
| sub-one-01 | proved | all subs proved
| ne-02,
ne-01,
in-04,
Extension,
In-empty,
Subset,
|
| eq-06 | proved | all subs proved
| eq-04,
|
| sub-two | proved | all subs proved
| in-04,
sub-one-02,
sub-add-03,
add-01,
|
| addtwo | proved | all subs proved
| In-insert,
eq-04,
eq,
|
| eqtwo-01 | proved | all subs proved
| in-04,
add,
In-insert,
In-empty,
eq,
Extension,
|
| subset | proved | all subs proved
| Subset,
sub-idem,
eq,
ne-02,
ne-01,
sub-add-01,
sub-insert,
add-01,
In-insert,
|
| eq-05 | proved | all subs proved
| eq-04,
|
| indef | proved | all subs proved
| in-03,
construct-set,
In-insert,
Extension,
|
| eq-02 | proved | all subs proved
| ne-02,
ne-01,
In-empty,
Extension,
in-04,
In-insert,
|
| two | proved | all subs proved
| eq-04,
in-04,
In-insert,
Extension,
|
| in-06 | proved | all subs proved
| in-04,
|
| in-03 | proved | all subs proved
| add,
in-02,
|
| sub-insert | proved | all subs proved
| sub-add-01,
ne-02,
ne-01,
In-insert,
Subset,
sub-idem,
sub-ntrans,
eq,
|
| sub-one-02 | proved | all subs proved
| sub-e,
sub-add-03,
|
| in-04 | proved | all subs proved
| add,
In-empty,
in-02,
|
| eq-04 | proved | all subs proved
| In-insert,
ins-two,
eq,
Extension,
|
| sub-insert-3 | proved | all subs proved
| In-insert,
Subset,
sub-add-03,
|
| subset-insert-same | proved | all subs proved
| In-insert,
Subset,
sub-add-03,
|
| sub-insert-5 | proved | all subs proved
| In-insert,
Subset,
sub-add-03,
|
| subset-ins | proved | all subs proved
| In-insert,
sub-add-03,
sub-add-02,
|
| sub-insert-01 | proved | all subs proved
| sub-add-01,
sub-ntrans,
|
| sub-insert-4 | proved | all subs proved
| In-insert,
Subset,
sub-add-03,
|
| eq-subset | proved | all subs proved
| subset-equal,
sub-idem,
|
| ins-two | proved | all subs proved
| In-insert,
eq-03,
|
| subset-equal | proved | all subs proved
| ne-02,
ne-01,
Subset,
Extension,
|
| in-02 | proved | all subs proved
| in,
In-insert,
|
| sub-ntrans | proved | all subs proved
| ne-02,
ne-01,
Subset,
|
| sub-add-02 | proved | all subs proved
| ne-02,
ne-01,
Subset,
In-insert,
|
| add-01 | proved | all subs proved
| In-insert,
eq-03,
|
| sub-add-03 | proved | all subs proved
| ne-02,
ne-01,
Subset,
sub-add,
In-insert,
|
| subset-insert-01 | proved | all subs proved
| in,
In-insert,
Subset,
|
| subset-insert | proved | all subs proved
| in,
In-insert,
Subset,
|
| subset-insert-03 | proved | all subs proved
| in,
In-insert,
Subset,
|
| subset-insert-06 | proved | all subs proved
| in,
In-insert,
Subset,
|
| sub-ntrans-01 | proved | all subs proved
| ne-02,
ne-01,
Subset,
|
| subset-insert-05 | proved | all subs proved
| in,
In-insert,
Subset,
|
| sub-add-04 | proved | all subs proved
| ne-02,
ne-01,
In-insert,
Subset,
|
| subset-insert-02 | proved | all subs proved
| in,
In-insert,
Subset,
|
| sub-in | proved | all subs proved
| ne-02,
ne-01,
Subset,
|
| sel | proved | all subs proved
| ne-02,
ne-01,
In-empty,
Extension,
|
| subset-insert-04 | proved | all subs proved
| in,
In-insert,
Subset,
|
| sub-trans | proved | all subs proved
| ne-02,
ne-01,
Subset,
|
| addthree | proved | all subs proved
| In-insert,
eq-03,
|
| ne-02 | proved | all subs proved
| In-empty,
Extension,
ne-01,
|
| eq-03 | proved | all subs proved
| In-insert,
Extension,
eq,
|
| in | proved | all subs proved
| add,
|
| in-01 | proved | all subs proved
| add,
|
| sub-e | proved | all subs proved
| In-empty,
Subset,
|
| sub-add | proved | all subs proved
| Subset,
In-insert,
|
| sub-idem | proved | all subs proved
| Subset,
|
| sub-add-01 | proved | all subs proved
| In-insert,
Subset,
|
| add | proved | all subs proved
| In-insert,
|
| eq | proved | all subs proved
| In-insert,
Extension,
|
| ne-01 | proved | all subs proved
| In-empty,
|
| ext-rec | proved | all subs proved
| In-insert,
Extension,
|
| in-05 | proved | all subs proved
| In-insert,
Extension,
|
| subset-empty | proved | all subs proved
| In-empty,
Extension,
Subset,
|
| sw-01 | proved | all subs proved
| In-insert,
Extension,
|
| expand | proved | all subs proved
| construct-set,
Extension,
gen,
|
| ne | proved | all subs proved
| In-insert,
In-empty,
Extension,
|
| del | proved | all subs proved
| construct-set,
In-insert,
Extension,
|
| alle | proved | all subs proved
| In-empty,
Extension,
|
| eq-01 | proved | all subs proved
| Extension,
In-insert,
|
| gen | axiom | | |
| construct-set | axiom | | |
| In-empty | axiom | | |
| Extension | axiom | | |
| Subset | axiom | | |
| In-insert | axiom | | |