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: |
|---|---|---|---|
| union-subset | proved | all subs proved | disjointp-def, union-def, |
| union-lookup | proved | all subs proved | union-def, |
| union-empty-r | proved | all subs proved | union-def, |
| union-empty-l | proved | all subs proved | union-def, |
| in-union | proved | all subs proved | union-def, |
| disjointp-reduce | proved | all subs proved | disjointp-def, |
| disjoint-empty-r | proved | all subs proved | disjointp-def, |
| disjoint-empty-l | proved | all subs proved | disjointp-def, |
| alldisjointp-reduce | proved | all subs proved | alldisjointp-def, |
| union-def | axiom | ||
| disjointp-def | axiom | ||
| alldisjointp-def | axiom |