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Theorem ls-inv-prefix-app-prefixn
⊦ inv(groupblock(gndx0 + prefixn(# lax1, gndx1), lax0 + lax1, m)) ∧ # lax1 < # gndx1 → prefixn(# gndx0, lax0 + lax) = lax0
Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by:
inv-addn
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas:
Used spec theorems:
ablock-store-inv
/group-store/
inv-block
Used simplifier rules:
list-data
/group-store/
l
nat-basic
/
f
ablock
/group-store/
sel-01
list
/group-store/
len
nat
/
lels-03
list-prefixn
/group-store/
prefixn-len-n
list
/group-store/
a
ablock
/group-store/
sel-02
list
/laddress-list/
len
list
/laddress-list/
a
nat-basic
/
eq-01
nat-basic
/
a
nat-basic
/
c
nat
/
le-def
oelem
/nat-set/
irreflexivity
list-prefixn
/laddress-list/
prefixn-append-left
list-prefixn
/laddress-list/
prefixn-fulln