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: |
|---|
| vols-is-max-is-min-eraseq | proved | all subs proved
| in-eraseq-strong-valid,
vols-is-max-weak,
vols-le,
vols-is-max-is-max-vols,
|
| vols-is-max-is-max-vols | proved | all subs proved
| in-eraseq-strong-not-valid,
valid-eraseq-strong-imp-p,
valid-eraseq-strong-imp-q,
ubi-cons-same-vtbl,
vols-is-max-weak,
vols-le,
|
| valid-wl-map-indices | proved | all subs proved
| indices-erasing-at,
|
| valid-vtbl-map-indices-erasing | proved | all subs proved
| indices-erasing-at,
|
| valid-eraseq-stronger-prev-append-lref | proved | all subs proved
| valid-eraseq-stronger-rec,
valid-eraseq-stronger-one,
valid-eraseq-stronger-base,
|
| valid-eraseq-stronger-next-append-none | proved | all subs proved
| valid-eraseq-stronger-rec,
valid-eraseq-stronger-base,
valid-eraseq-stronger-one,
|
| valid-eraseq-stronger-next-append-lref | proved | all subs proved
| valid-eraseq-stronger-rec,
valid-eraseq-stronger-base,
valid-eraseq-stronger-one,
|
| ubi-io-initial-unique-sqns | proved | all subs proved
| ubi-io-initial-valid-sqns,
|
| indices-erasing-write-prepend | proved | all subs proved
| indices-set-erasing,
indices-erasing-rec,
|
| in-eraseq-strong-valid | proved | all subs proved
| valid-eraseq-strong-rec,
|
| valid-eraseq-strong-imp-q | proved | all subs proved
| valid-eraseq-strong-rec,
valid-eraseq-strong-base,
|
| valid-eraseq-strong-imp-p | proved | all subs proved
| valid-eraseq-strong-rec,
valid-eraseq-strong-base,
|
| in-eraseq-strong-not-valid | proved | all subs proved
| valid-eraseq-strong-rec,
|
| indices-erasing-at | proved | all subs proved
| indices-erasing-rec,
|
| valid-eraseq-stronger-one | proved | all subs proved
| valid-eraseq-stronger-base,
valid-eraseq-stronger-rec,
|
| ubi-io-initial-valid-sqns | proved | all subs proved
| ubi-io-initial-valid-sqns-h,
|
| indices-set-erasing | proved | all subs proved
| indices-erasing-rec,
indices-erasing-base,
|
| vols-le-trans | proved | all subs proved
| vols-le,
|
| vols-le-refl | proved | all subs proved
| vols-le,
|
| vols-le-antisym | proved | all subs proved
| vols-le,
|
| valid-recs-sqns-update | proved | all subs proved
| valid-recs-sqns,
|
| valid-recs-sqns-emptyset | proved | all subs proved
| valid-recs-sqns,
|
| valid-recs-next-update | proved | all subs proved
| valid-recs,
|
| valid-recs-next-samerecs | proved | all subs proved
| valid-recs,
|
| valid-recs-next-add | proved | all subs proved
| valid-recs,
|
| valid-recs-in-nonempty-sqns | proved | all subs proved
| valid-recs,
|
| valid-recs-emptyset | proved | all subs proved
| valid-recs,
|
| valid-eraseq-stronger-no-maxsqnum | proved | all subs proved
| valid-eraseq-stronger-rec,
|
| valid-eraseq-stronger-next | proved | all subs proved
| valid-eraseq-stronger-rec,
valid-eraseq-stronger-base,
|
| valid-eraseq-stronger-imp-strong | proved | all subs proved
| valid-eraseq-strong-rec,
valid-eraseq-stronger-rec,
valid-eraseq-strong-base,
valid-eraseq-stronger-base,
|
| valid-eraseq-strong-notinvols | proved | all subs proved
| valid-eraseq-strong-rec,
valid-eraseq-strong-base,
|
| unmapped-vols-unmapped | proved | all subs proved
| unmapped-vols,
|
| unmapped-vols-disj | proved | all subs proved
| disj,
unmapped-vols,
|
| indices-erasing-write-notin | proved | all subs proved
| indices-erasing-rec,
indices-erasing-base,
|
| indices-erasing-eraseq | proved | all subs proved
| indices-erasing-rec,
indices-erasing-base,
|
| disj-shift | proved | all subs proved
| disj,
|
| disj-remove | proved | all subs proved
| disj,
|
| vols-le | axiom | | |
| vols-is-max-weak | axiom | | |
| ubi-cons-same-vtbl | proved | all subs proved
| |
| valid-recs-sqns | axiom | | |
| valid-recs | axiom | | |
| valid-eraseq-stronger-base | axiom | | |
| valid-eraseq-stronger-rec | axiom | | |
| valid-eraseq-strong-base | axiom | | |
| unmapped-vols | axiom | | |
| ubi-io-initial-valid-sqns-h | proved | all subs proved
| |
| indices-erasing-base | axiom | | |
| indices-erasing-rec | axiom | | |
| valid-eraseq-strong-rec | axiom | | |
| disj | axiom | | |