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Theorem rely-persist-W-weak
⊦ firstPersistW(p(l)) < # p(l) → rely(t, p, p(l := p(l) -p firstPersistW(p(l))))
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
FLITPSCweak-proofs
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 22
Used lemmas:
take-firstPersistW-filter-FO
,
at-firstPersistW-is-W
,
weak-write-postfix
,
rely-def
,
allrely-def
,
firstPersistW
,
Used spec theorems:
list-del
/
firstn-restn-eq
list-del
/
rmpos-take-drop
list-del
/
firstn-last-rec
Used simplifier rules:
list-data
/
l
nat-basic
/
f
FLITPSC-preds
/
filter-tid-empty
list
/
a
list
/
app
list
/
Nil
nat
/
succ-01
nat
/
lels
nat
/
ls-le-simp
nat-basic
/
a
nat-basic
/
c
nat-basic
/
oz
FLITPSC-preds
/
filter-FO-append
list
/
Last
nat-basic
/
pred
FLITPSC-preds
/
filter-FO-one-FO
FOW
/
test-dotWque-FO
FLITPSC-preds
/
filter-FO-one-W
list-set
/
subset-ref
FLITPSC-preds
/
filter-FO-empty
list-set
/
subset-empty