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: |
|---|---|---|---|
| next-ls | proved | all subs proved | irreflexivity, transitivity, next, next-neq, loc, |
| next-neq | proved | all subs proved | irreflexivity, lel, lel-01, loc, next, |
| next-neq-01 | proved | all subs proved | smallest-01, next, |
| lel | proved | all subs proved | transitivity, irreflexivity, loc, |
| lel-01 | proved | all subs proved | transitivity, irreflexivity, loc, |
| smallest-01 | proved | all subs proved | irreflexivity, transitivity, loc, smallest, |
| nnn | proved | all subs proved | irreflexivity, transitivity, loc, |
| nll | proved | all subs proved | irreflexivity, transitivity, loc, |
| nen-01 | proved | all subs proved | transitivity, irreflexivity, loc, |
| nen | proved | all subs proved | transitivity, irreflexivity, loc, |
| loc | proved | all subs proved | transitivity, irreflexivity, seq, |
| sls | proved | all subs proved | irreflexivity, transitivity, seq, |
| seq | proved | all subs proved | totality, |
| exists-notjvmref | proved | all subs proved | irreflexivity, no-maximum, |
| smallest | axiom | ||
| totality | axiom | ||
| next | axiom | ||
| transitivity | axiom | ||
| no-maximum | axiom | ||
| irreflexivity | axiom |