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: |
|---|---|---|---|
| wfinv-noethind | proved | all subs proved | wf-noethind, wfinv-def, |
| twfinv-irrefl | proved | all subs proved | wfinv-irrefl, twfinv-def, |
| wf-lexicalind | proved | all subs proved | wf-equiv-noethind, wf-lexical, |
| twfinv-noethind | proved | all subs proved | wfinv-equiv-noethind, trans-def, twfinv-def, |
| wfinv-equiv-noethind | proved | all subs proved | wf-equiv-noethind, wfinv-def, |
| wf-lexical | proved | all subs proved | wf-equiv-noethind, |
| wfinv-irrefl | proved | all subs proved | wf-irrefl, wfinv-def, |
| wf-noethind | proved | all subs proved | wf-equiv-noethind, |
| twf-irrefl | proved | all subs proved | wf-irrefl, twf-def, |
| twf-noethind | proved | all subs proved | wf-equiv-noethind, trans-def, twf-def, |
| wf-equiv-noethind | proved | all subs proved | wf-def, |
| wf-irrefl | proved | all subs proved | wf-def, |
| twfinv-trans | proved | all subs proved | trans-def, twfinv-def, |
| twf-trans | proved | all subs proved | trans-def, twf-def, |
| trans-def | axiom | ||
| twfinv-def | axiom | ||
| twf-def | axiom | ||
| wf-def | axiom | ||
| wfinv-def | axiom |