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: |
|---|---|---|---|
| iterate-is-fix | proved | all subs proved | cont-monotone, iterate-subseq-mu, cont-iterate-fix, |
| cont-iterate-fix | proved | all subs proved | iterate-rec, iterate-base, iterate-subseq-leq, chain-def, cont-def, cont-monotone, |
| iterate-subseq-mu | proved | all subs proved | iterate-rec, iterate-base, |
| cont-monotone | proved | all subs proved | chain-def, cont-def, |
| iterate-subseq-leq | proved | all subs proved | iterate-rec, iterate-base, |
| iterate-subseq | proved | all subs proved | iterate-base, iterate-rec, |
| cont-def | axiom | ||
| chain-def | axiom | ||
| iterate-base | axiom | ||
| iterate-rec | axiom |