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: |
|---|
| Inv-main-reduce | proved | all subs proved
| Inv-main,
|
| Inv-main-init | proved | all subs proved
| Inv-main,
|
| Inv-last-inner-size-eq | proved | all subs proved
| Inv-last-inner,
|
| Inv-last-inner-reduce | proved | all subs proved
| Inv-last-inner,
|
| Inv-last-inner-j-le-i | proved | all subs proved
| Inv-last-inner,
|
| Inv-last-inner-init-b | proved | all subs proved
| Inv-last-inner,
Inv-first-inner,
|
| Inv-last-inner-init-a | proved | all subs proved
| Inv-last-inner,
Inv-first-inner,
|
| Inv-first-inner-size-eq | proved | all subs proved
| Inv-first-inner,
|
| Inv-first-inner-reduce | proved | all subs proved
| Inv-first-inner,
|
| Inv-first-inner-j-le-i | proved | all subs proved
| Inv-first-inner,
|
| Inv-first-inner-init-b | proved | all subs proved
| Inv-first-inner,
Inv-main,
|
| Inv-first-inner-init-a | proved | all subs proved
| Inv-first-inner,
Inv-main,
|
| Inv-end-size-eq | proved | all subs proved
| Inv-end,
|
| Inv-end-reduce | proved | all subs proved
| Inv-end,
|
| Inv-end-j-le-i | proved | all subs proved
| Inv-end,
|
| Inv-end-init | proved | all subs proved
| Inv-end,
Inv-main,
|
| Inv-last-inner | axiom | | |
| Inv-first-inner | axiom | | |
| Inv-main | axiom | | |
| Inv-end | axiom | | |