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Theorem transaction-prefix-is-transaction-prefix
n < # gndx ⊦ transaction(ndx, gndx) → transaction-prefix(ndx, prefixn(n, gndx))
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
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: 44
Used lemmas:
transaction-prefix
,
transaction
,
Used spec theorems:
list-prefixn
/group-store/
prefixn-shift-right
list-del
/group-store/
get-append-grt
list-prefixn
/group-store/
in-prefixn-at-smaller
Used simplifier rules:
list-data
/group-store/
size-01
nat
/
lels-03
list-prefixn
/group-store/
prefixn-len-n
nat-basic
/
zero
list-data
/group-store/
elim-list-c
list
/group-store/
c
groupnode
/
elim
list
/group-store/
e-01
list-prefixn
/group-store/
prefixn-eq-empty
nat
/
one-02
nat
/
lels-02
nat-basic
/
one-02
list-prefixn
/group-store/
prefixn-append-left
nat
/
le-def
list-prefixn
/group-store/
prefixn-fulln
list
/group-store/
first
list-data
/node-list/
l
nat-basic
/
one
nat
/
not-zero
list
/group-store/
c-08
nat
/
lep
list-del
/group-store/
get-zero-01
nat
/
lels
nat
/
le-ls-simp
nat
/
fle-01
nat
/
let
nat-basic
/
lf-02
nat-basic
/
l-02
list-del
/group-store/
get-append-less
nat-basic
/
one-01
list
/group-store/
len-02
list-del
/group-store/
get-append-grt
nat-basic
/
oz
nat
/
succ-01
list-prefixn
/group-store/
in-prefixn-at-smaller
nat-basic
/
l-08
groupnode
/
inj
nat
/
elim-pred-c
list-last
/group-store/
l-02
list-data
/group-store/
l
nat-basic
/
lf-01
nat-basic
/
l-06
oelem
/nat-set/
transitivity
nat
/
fle
nat-basic
/
lf
nat-basic
/
f
nat-basic
/
ls-02
nat-basic
/
c
nat-basic
/
a
oelem
/nat-set/
ls-le
nat-basic
/
s-04
list
/group-store/
a
nat-basic
/
succ
list
/group-store/
len-05
groupnode
/
sel