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: |
|---|---|---|---|
| less-reflex-rev | proved | all subs proved | irreflex, |
| less-reflex | proved | all subs proved | irreflex, |
| irreflex | proved | all subs proved | less-int, not-inf-less, neginf-less, |
| trans | proved | all subs proved | less-int, neginf-less, not-inf-less, less-inf, not-less-neginf, |
| antisym | proved | all subs proved | less-int, not-less-neginf, less-inf, not-inf-less, neginf-less, |
| neginf-less | axiom | ||
| not-inf-less | axiom | ||
| less-inf | axiom | ||
| not-less-neginf | axiom | ||
| less-int | axiom |