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Theorem isPropFO-restrict-SF-l-head
⊦ isPropFO(n, l, bel) → bel -p n |SF l = (bel |SF l).tail
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
B-postfix-weak-delpos-propFO
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 19
Used lemmas:
isPropFO-rec
,
isPropFO-def
,
isPropFO-leading-SF
,
isPropFO-empty
,
B-restrict-SF-l
,
Used spec theorems:
Used simplifier rules:
list-del
/
delpos-empty
filter-count
/
filter-base
list
/
c
list
/
a
filter-count
/
filter-rec
list
/
c-07
list-del
/
delpos-base
nat-basic
/
succ
nat-basic
/
c
nat-basic
/
a
list-del
/
delpos-rec
list-data
/
l
nat-basic
/
f
nat-basic
/
s-04
nat-basic
/
l
list
/
len-05
list-del
/
get-succ
list-del
/
get-zero
nat-basic
/
less-zero
Bevent
/
sel-FO-dotl
Bevent
/
disj-FO-SF
Bevent
/
test-dotFOque-FO
Bevent
/
sel-W-dotl
Bevent
/
disj-W-SF
Bevent
/
test-dotFOque-W
Bevent
/
test-dotWque-W
list
/
Nil
nat-basic
/
zero
nat-basic
/
oz