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 | irreflexivity, transitivity, loc, |
| nll | proved | all subs proved | irreflexivity, transitivity, loc, |
| nen | proved | all subs proved | irreflexivity, transitivity, loc, |
| lel | proved | all subs proved | irreflexivity, transitivity, loc, |
| loc | proved | all subs proved | irreflexivity, transitivity, seq, |
| seq | proved | all subs proved | sls, |
| sls | proved | all subs proved | ls-le, irreflexivity, transitivity, totality, |
| ls-le | proved | all subs proved | irreflexivity, transitivity, |
| totality | axiom | ||
| transitivity | axiom | ||
| irreflexivity | axiom |