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: |
|---|---|---|---|
| inj-03 | proved | all subs proved | empty, elim, |
| empty | proved | all subs proved | disj, |
| inj-02 | proved | all subs proved | inj, |
| inj-01 | proved | all subs proved | inj, |
| elim | axiom | ||
| inj | axiom | ||
| disj | axiom |