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Theorem transaction-prefix-app-last
# ndx = # gndx ⊦ transaction-prefix(ndx + nd ', gndx) → transaction(ndx + nd ', gndx + mkgnode(nd, n, ndx = [], true) ')
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
gjournal-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 43
Used lemmas:
transaction
,
transaction-prefix
,
Used spec theorems:
list-del
/node-list/
get-append-grt
list-del
/group-store/
get-append-grt
Used simplifier rules:
nat
/
ler
list-last
/group-store/
last-def
list
/group-store/
len
list
/node-list/
len-02
list
/node-list/
len
list
/group-store/
app-02
list
/group-store/
e
list
/group-store/
e-02
groupnode
/
elim
groupnode
/
sel-04
list-del
/group-store/
get-append-grt
nat
/
elim-pred-c
nat-basic
/
lf-02
nat
/
le-ls-simp
groupnode
/
sel-05
nat
/
lez
list-del
/group-store/
get-append-less
list-del
/node-list/
one-03
list-del
/group-store/
get-zero
list
/group-store/
in-14
list-del
/node-list/
get-zero
nat-basic
/
zero
list-del
/node-list/
get-butlast
list-data
/node-list/
elim-list-c
list
/node-list/
e-01
list
/node-list/
len-05
list-del
/node-list/
get-zero-01
list
/node-list/
c
nat-basic
/
eq-01
list-data
/group-store/
elim-list-c
list
/group-store/
in-append0-not-left
list
/group-store/
ni
list
/group-store/
inapp-08
nat
/
lez-01
list-data
/node-list/
l
list-data
/group-store/
size-01
list
/group-store/
c-03
list
/group-store/
Nil
nat-basic
/
one-01
list
/group-store/
len-02
nat-basic
/
lf-01
nat
/
succ-01
nat-basic
/
oz
list
/group-store/
in-17
list
/group-store/
in-append
list
/group-store/
in-15
nat-basic
/
l
nat-basic
/
s-04
list
/group-store/
in-rec
list
/group-store/
e-01
nat-basic
/
succ
list
/group-store/
len-05
list
/group-store/
c-06
list-del
/group-store/
get-succ
list
/group-store/
c
nat
/
lels
nat
/
anti
nat
/
zero
list-del
/group-store/
one-03
groupnode
/
inj
list-data
/node-list/
size-01
nat-basic
/
z-01
list-data
/group-store/
l
nat-basic
/
a
nat-basic
/
c
list-del
/node-list/
get-last
list
/node-list/
a
list
/group-store/
a
list-del
/group-store/
get-butlast
nat
/
lels-03
nat-basic
/
f