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: |
|---|---|---|---|
| lf | proved | all subs proved | fr-06, lf-01, l, lfr, |
| fr-01 | proved | all subs proved | fr-02, fr, |
| lfr | proved | all subs proved | fr-02, fr-07, l, |
| fr-06 | proved | all subs proved | fr-07, |
| fr | proved | all subs proved | fr-02, fr-07, |
| lr-01 | proved | all subs proved | lr-02, size-02, disj-1, elim-list-c, |
| le-one-01 | proved | all subs proved | sel-2, l, size-02, disj-1, gen, fr-07, lf-01, |
| fr-05 | proved | all subs proved | fr-07, fr-02, |
| fr-03 | proved | all subs proved | fr-07, |
| eq-one | proved | all subs proved | disj-1, l, size-02, elim-list-c, fr-07, lf-01, |
| lr-02 | proved | all subs proved | l, length-rest, |
| fr-07 | proved | all subs proved | inj-1, elim-list-c, fr-02, |
| lr-06 | proved | all subs proved | l, length-rest, size-01, |
| lr-05 | proved | all subs proved | length-rest, l, |
| lr-04 | proved | all subs proved | l, length-rest, size-01, |
| lr-03 | proved | all subs proved | l, length-rest, |
| lr | proved | all subs proved | l, length-rest, |
| length-rest-intro | proved | all subs proved | l, length-rest, |
| fr-04 | proved | all subs proved | fr-02, elim-list-c, |
| elim-list | proved | all subs proved | sel-2, sel-1, fr-02, |
| length-rest | proved | all subs proved | size-02, disj-1, elim-list-c, |
| lf-01 | proved | all subs proved | f, l, size-02, disj-1, size-01, elim-list-c, |
| fr-02 | proved | all subs proved | elim-list-c, |
| elim-list-c | proved | all subs proved | f, gen, sel-2, sel-1, |
| le-one | proved | all subs proved | l, |
| l | proved | all subs proved | size-02, gen, size-01, |
| f | proved | all subs proved | inj-1, |
| p-fr | proved | all subs proved | sel-2, sel-1, |
| exa | proved | all subs proved | disj-1, gen, |
| size-01 | axiom | ||
| inj-1 | axiom | ||
| size-02 | axiom | ||
| disj-1 | axiom | ||
| gen | axiom | ||
| sel-1 | axiom | ||
| sel-2 | axiom |