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-write | proved | all subs proved
| disj-rec,
disj-union-rem,
disj-in-both,
in-union-ext,
union-rec,
union-base,
union-write-above,
|
| union-union-one | proved | all subs proved
| subseteq-union-one,
|
| subseteq-union-one-add | proved | all subs proved
| subseteq-union-one,
|
| subseteq-union-diff-one | proved | all subs proved
| disj-unique,
in-index-in-union,
|
| disj-union-rem | proved | all subs proved
| disj-in-both,
|
| subseteq-union-one | proved | all subs proved
| in-index-in-union,
|
| disj-unique | proved | all subs proved
| disj-in-both,
|
| union-eq-rem-subseteq | proved | all subs proved
| in-index-in-union,
|
| inter-union-empty-one-empty | proved | all subs proved
| in-index-in-union,
|
| in-index-in-union-1 | proved | all subs proved
| in-union-ext,
union-rec,
|
| union-write-above | proved | all subs proved
| union-rec,
union-base,
|
| disj-rec | proved | all subs proved
| disj,
|
| in-index-in-union | proved | all subs proved
| union-rec,
|
| in-union-ext | proved | all subs proved
| union-rec,
union-base,
|
| disj-in-both | proved | all subs proved
| disj,
|
| union-subset | proved | all subs proved
| union-rec,
union-base,
|
| disj-write | proved | all subs proved
| disj,
|
| union-base | axiom | | |
| union-rec | axiom | | |
| disj | axiom | | |