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: |
|---|---|---|---|
| no-progress-right | proved | all subs proved | no-progress-left, |
| no-progress-left | proved | all subs proved | no-progress-left-aux, stable-fw, |
| progress-right | proved | all subs proved | progress-left, |
| no-progress-right-aux | proved | all subs proved | no-progress-left-aux, |
| progress-left | proved | all subs proved | progress-left-aux, stable-fw, progress-fw, |
| no-progress-left-aux | proved | all subs proved | stable-fw, no-progress-left-aux0, |
| progress-right-aux | proved | all subs proved | progress-left-aux, |
| no-init-violation-right | proved | all subs proved | no-init-violation-left, |
| progress-left-aux | proved | all subs proved | stable-fw, |
| no-progress-left-aux0 | proved | all subs proved | progress-fw, stable-fw, |
| no-init-violation-left | proved | all subs proved | progress-fw, stable-fw, |
| stable-fw | proved | all subs proved | stable-def, |
| progress-fw | proved | all subs proved | P-restr-def, |
| no-progress-fw | proved | all subs proved | notP-def, P-restr-def, |
| stable-def | axiom | ||
| P-restr-def | axiom | ||
| notP-def | axiom |