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: |
|---|---|---|---|
| nnn | proved | all subs proved | nll, leq-trans, |
| nll | proved | all subs proved | leq-trans, |
| ls-le | proved | all subs proved | irreflexivity, transitivity, |
| transitivity | axiom | ||
| irreflexivity | axiom | ||
| leq-trans | axiom |