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: |
|---|
| rely-FOFollowsW-stable | proved | all subs proved
| FOWs-W,
FOWs-W-split,
FOWs-FO-split,
FO-in-FOWs,
FOWs-FO,
FOWs-append,
B-postfix-weak-FOWs-postfix,
FOFollowsW-def,
rely-local-def,
rely-def,
B-restrict-SF-l,
B-postfix-weak,
|
| B-postfix-weak-FOWs-postfix | proved | all subs proved
| FOWs-one-SF,
restrict-SF-eq-FOWs-eq,
FOWs-one-FO,
FOWs-one-W,
FOWs-append,
FOWs-base,
B-restrict-SF-l,
B-postfix-weak,
|
| rely-noPendingW-stable | proved | all subs proved
| W-in-FOWs,
BrestrictL-def,
FOWs-loc-empty,
noPendingW,
rely-local-def,
rely-def,
|
| rely-prop-FO | proved | all subs proved
| isPropFO-FOWs-delpos-other,
isPropFO-cons-leading-FO,
isPropFO-FOWs-delpos-tail,
rely-local-def,
rely-def,
|
| B-postfix-weak-delpos-propFO | proved | all subs proved
| isPropFO-def,
isPropFO-restrict-SF-l-head,
B-restrict-SF-l,
B-postfix-weak,
|
| writersOk-prop-FO | proved | all subs proved
| isPropFO-restrict-delpos,
writersOk,
|
| pendingOk-prop-FO | proved | all subs proved
| isPropFO-restrict-delpos,
pendingOk,
|
| FO-in-FOWs | proved | all subs proved
| FOWs-one-FO,
FOWs-one-W,
FOWs-one-SF,
FOWs-append,
FOWs-base,
|
| FOWs-FO-split | proved | all subs proved
| FOWs-one-FO,
FOWs-W,
FOWs-one-W,
FOWs-SF,
FOWs-one-SF,
FOWs-base,
FOWs-FO,
FOWs-append,
|
| FOWs-W-split | proved | all subs proved
| FOWs-FO,
FOWs-one-FO,
FOWs-one-W,
FOWs-SF,
FOWs-one-SF,
FOWs-base,
FOWs-W,
FOWs-append,
|
| isPropFO-restrict-delpos | proved | all subs proved
| isPropFO-not-leading-FO,
isPropFO-not-leading-W,
isPropFO-leading-SF,
isPropFO-rec,
restrict-l-FO,
isPropFO-def,
restrict-l-append,
restrict-l-empty,
|
| isPropFO-restrict-SF-l-head | proved | all subs proved
| isPropFO-rec,
isPropFO-def,
isPropFO-leading-SF,
isPropFO-empty,
B-restrict-SF-l,
|
| restrict-SF-eq-FOWs-eq | proved | all subs proved
| FOWs-one-FO,
FOWs-one-W,
FOWs-append,
FOWs-base,
B-restrict-SF-l,
|
| isPropFO-FOWs-delpos-tail | proved | all subs proved
| isPropFO-not-leading-FO,
isPropFO-rec,
isPropFO-not-leading-W,
FOWs-one-W,
isPropFO-leading-SF,
FOWs-one-SF,
FOWs-one-FO,
isPropFO-def,
FOWs-append,
isPropFO-empty,
FOWs-base,
|
| isPropFO-cons-leading-FO | proved | all subs proved
| FOWs-one-FO,
isPropFO-rec,
isPropFO-def,
isPropFO-not-leading-W,
FOWs-one-W,
isPropFO-leading-SF,
FOWs-one-SF,
FOWs-append,
isPropFO-empty,
FOWs-base,
|
| isPropFO-FOWs-delpos-other | proved | all subs proved
| isPropFO-not-leading-FO,
isPropFO-not-leading-W,
isPropFO-leading-SF,
isPropFO-rec,
FOWs-one-FO,
isPropFO-def,
FOWs-one-W,
FOWs-one-SF,
FOWs-append,
FOWs-base,
|
| FOWs-loc-empty | proved | all subs proved
| FOWs-one-FO,
restrict-l-FO,
restrict-l-W-other,
restrict-l-W-same,
FOWs-one-W,
FOWs-one-SF,
restrict-l-SF,
FOWs-append,
restrict-l-append,
FOWs-base,
restrict-l-empty,
|
| W-in-FOWs | proved | all subs proved
| FOWs-one-FO,
FOWs-one-W,
FOWs-one-SF,
FOWs-append,
FOWs-base,
|
| writersOk-prop-W | proved | all subs proved
| restrict-l-W-same,
restrict-l-append,
writersOk,
|
| pendingOk-empty-bq | proved | all subs proved
| restrict-l-empty,
pendingOk,
|
| pendingOk-add-pending | proved | all subs proved
| restrict-l-W-same,
restrict-l-W-other,
restrict-l-empty,
restrict-l-append,
pendingOk,
noPending,
|
| pendingOk-prop-W | proved | all subs proved
| restrict-l-W-other,
restrict-l-W-same,
restrict-l-append,
pendingOk,
|
| noPendingW-add-FO | proved | all subs proved
| restrict-l-FO,
restrict-l-append,
noPendingW,
|
| writersOk-empty-bq | proved | all subs proved
| restrict-l-empty,
writersOk,
|
| B-postfix-weak-same-loc-postfix | proved | all subs proved
| B-postfix-weak-same-loc,
B-restrict-SF-l,
B-postfix-weak,
|
| noPendingW-add-SF | proved | all subs proved
| restrict-l-SF,
restrict-l-append,
noPendingW,
|
| rely-prop-SF | proved | all subs proved
| FOWs-one-SF,
FOWs-base,
rely-local-def,
rely-def,
|
| writersok-rm-writer | proved | all subs proved
| restrict-l-empty,
writersOk,
noPending,
|
| writersOk-add-FO | proved | all subs proved
| restrict-l-FO,
restrict-l-append,
writersOk,
|
| SFTrainling-prop-FO | proved | all subs proved
| isPropFO-def,
isPropFO-SF-in-delpos,
SFTrailing,
|
| B-postfix-weak-of-empty | proved | all subs proved
| B-postfix-weak-empty,
B-restrict-SF-l,
B-postfix-weak,
|
| pendingOk-add-FO | proved | all subs proved
| restrict-l-FO,
restrict-l-append,
pendingOk,
|
| noPendingW-no-leading-bq-W | proved | all subs proved
| restrict-l-W-same,
restrict-l-append,
noPendingW,
|
| writersOk-add-SF | proved | all subs proved
| restrict-l-SF,
restrict-l-append,
writersOk,
|
| pendingOk-no-two-buffered-Ws | proved | all subs proved
| restrict-l-W-same,
restrict-l-append,
pendingOk,
|
| writersok-add-pending | proved | all subs proved
| restrict-l-empty,
restrict-l-W-other,
restrict-l-append,
writersOk,
noPending,
|
| pendingOk-add-SF | proved | all subs proved
| restrict-l-SF,
restrict-l-append,
pendingOk,
|
| B-postfix-weak-one-ws | proved | all subs proved
| B-postfix-weak-one,
B-postfix-weak-empty,
|
| B-postfix-weak-one | proved | all subs proved
| B-restrict-SF-l,
B-postfix-weak,
|
| B-postfix-weak-empty | proved | all subs proved
| B-restrict-SF-l,
B-postfix-weak,
|
| isPropFO-SF-in-delpos | proved | all subs proved
| isPropFO-def,
|
| restrict-l-SF | proved | all subs proved
| BrestrictL-def,
|
| B-postfix-weak-same-loc | proved | all subs proved
| B-restrict-SF-l,
B-postfix-weak,
|
| isPropFO-empty | proved | all subs proved
| isPropFO-def,
|
| restrict-l-FO | proved | all subs proved
| BrestrictL-def,
|
| restrict-l-W-other | proved | all subs proved
| BrestrictL-def,
|
| restrict-l-empty | proved | all subs proved
| BrestrictL-def,
|
| restrict-l-append | proved | all subs proved
| BrestrictL-def,
|
| restrict-l-W-same | proved | all subs proved
| BrestrictL-def,
|
| isPropFO-rec | proved | all subs proved
| isPropFO-def,
|
| isPropFO-leading-SF | proved | all subs proved
| isPropFO-def,
|
| isPropFO-not-leading-W | proved | all subs proved
| isPropFO-def,
|
| isPropFO-not-leading-FO | proved | all subs proved
| isPropFO-def,
|
| FOWs-append | proved | all subs proved
| FOWs-FO,
FOWs-W,
FOWs-SF,
FOWs-base,
|
| FOWs-one-SF | proved | all subs proved
| FOWs-base,
FOWs-SF,
|
| FOWs-one-W | proved | all subs proved
| FOWs-base,
FOWs-W,
|
| FOWs-one-FO | proved | all subs proved
| FOWs-base,
FOWs-FO,
|
| readFOsOk-not-one-W | proved | all subs proved
| FOs,
readFOsOk,
|
| oplus-v-append | proved | all subs proved
| overwrite-rec-FO,
overwrite-rec-W,
overwrite-rec-SF,
overwrite-base,
|
| oplus-v-one-W | proved | all subs proved
| overwrite-base,
overwrite-rec-W,
|
| FOs-not-one-SF | proved | all subs proved
| FOs,
|
| SFTrailing-attach | proved | all subs proved
| SFTrailing,
|
| SFTrailing-tail | proved | all subs proved
| SFTrailing,
|
| rely-refl | proved | all subs proved
| rely-local-def,
rely-def,
|
| rely-update-other-bq | proved | all subs proved
| rely-local-def,
rely-def,
|
| oplus-v-one-FO | proved | all subs proved
| overwrite-base,
overwrite-rec-FO,
|
| readFOsOk-empty-rfo-while-writing | proved | all subs proved
| FOs,
readFOsOk,
|
| B-postfix-weak-not-in-stable | proved | all subs proved
| B-restrict-SF-l,
B-postfix-weak,
|
| isPropFO-W-in-delpos | proved | all subs proved
| isPropFO-def,
|
| rely-noPending-stable | proved | all subs proved
| FOWs-base,
noPending,
rely-local-def,
rely-def,
|
| readFOsOk-not-one-SF | proved | all subs proved
| FOs,
readFOsOk,
|
| noPending-then-noPendingW | proved | all subs proved
| BrestrictL-def,
noPendingW,
noPending,
|
| readFOsOk-add-writer | proved | all subs proved
| FOs,
readFOsOk,
|
| oplus-v-one-SF | proved | all subs proved
| overwrite-base,
overwrite-rec-SF,
|
| readFOsOk-not-leading-W | proved | all subs proved
| FOs,
readFOsOk,
|
| writersok-add-writer | proved | all subs proved
| writersOk,
|
| readFOsOk-rm-writer | proved | all subs proved
| FOs,
readFOsOk,
|
| readFOsOk-prop-FO | proved | all subs proved
| FOs,
readFOsOk,
|
| rely-prop-W | proved | all subs proved
| FOWs-W,
rely-local-def,
rely-def,
|
| B-postfix-weak-append | proved | all subs proved
| B-restrict-SF-l,
B-postfix-weak,
|
| writersOk-persist | proved | all subs proved
| writersOk,
|
| FOs-not-one-W | proved | all subs proved
| FOs,
|
| rely-noPending-stable-strong | proved | all subs proved
| FOWs-FO,
FOWs-W,
FOWs-SF,
FOWs-base,
noPending,
rely-local-def,
rely-def,
B-restrict-SF-l,
B-postfix-weak,
|
| FOs-not-leading-W | proved | all subs proved
| FOs,
|
| oplus-noPendingW | proved | all subs proved
| overwrite-base,
overwrite-def,
noPendingW,
|
| noPending-no-leading-bq-W | proved | all subs proved
| noPending,
|
| isPropFO-delpos-last-SF | proved | all subs proved
| isPropFO-def,
|
| pendingOk-persist | proved | all subs proved
| pendingOk,
|
| SFTrailing-leading-SF | proved | all subs proved
| SFTrailing,
|
| readFOsOk-add-FO | proved | all subs proved
| FOs,
readFOsOk,
|
| isPropFO-other-FO-in-delpos | proved | all subs proved
| isPropFO-def,
|
| B-postfix-weak-refl | proved | all subs proved
| B-restrict-SF-l,
B-postfix-weak,
|
| isPropFO-drop-last-SF | proved | all subs proved
| isPropFO-def,
|
| rely-persist | proved | all subs proved
| rely-local-def,
rely-def,
|
| FOFollowsW-def | axiom | | |
| overwrite-def | axiom | | |
| B-postfix-weak | axiom | | |
| B-restrict-SF-l | axiom | | |
| SFTrailing | axiom | | |
| noPending | axiom | | |
| pendingOk | axiom | | |
| writersOk | axiom | | |
| overwrite-base | axiom | | |
| overwrite-rec-SF | axiom | | |
| overwrite-rec-W | axiom | | |
| overwrite-rec-FO | axiom | | |
| rely-def | axiom | | |
| rely-local-def | axiom | | |
| noPendingW | axiom | | |
| BrestrictL-def | axiom | | |
| isPropFO-def | axiom | | |
| readFOsOk | axiom | | |
| FOs | axiom | | |
| FOWs-FO | axiom | | |
| FOWs-SF | axiom | | |
| FOWs-W | axiom | | |
| FOWs-base | axiom | | |