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Theorem fo-in-del-firstPersistW
⊦ FO(t) ∈ fowl -p firstPersistW(fowl) ↔ FO(t) ∈ fowl
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
FLITPSCweak-refines-PLIB
,
abs-FLITPSCweak-PLIB
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas:
firstPersistW
,
Used spec theorems:
forall-indexWhere
/
indexWhere-rec2
forall-indexWhere
/
indexWhere-rec1
Used simplifier rules:
list-del
/
delpos-get-fw
list-del
/
rmpos-not-in
forall-indexWhere
/
indexWhere-base
list
/
in-empty
list
/
c
list
/
a
list
/
in-rec
FOW
/
inj-FO
list-del
/
get-succ
FOW
/
test-dotWque-FO
list-del
/
delpos-rec
nat-basic
/
a
nat-basic
/
c
list
/
in-06
forall-indexWhere
/
indexWhere-rec1
list-del
/
get-zero
FOW
/
disj-FO-W
forall-indexWhere
/
indexWhere-rec2
FOW
/
test-dotWque-W