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Theorem keys-at-other
⊦ # kx = # ax ∧ key ∈ ri ∧ ¬ key ∈ kx → ri[kx, ax][key] = ri[key]
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
index-update-at-last-oc
,
Used by units in proved state:
gjournal-base
,
aubifs-inv
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas:
index-update-key-rec
,
index-update-key-base
,
Used spec theorems:
Used simplifier rules:
list-data
/key-list-set/
size-01
list-data
/address-list-set/
l
list
/key-list-set/
in-empty
list
/key-list-set/
in-06
list
/key-list-set/
len-05
list
/key-list-set/
c
list-data
/address-list-set/
size-01
nat-basic
/
z-01
list-data
/key-list-set/
l
list
/key-list-set/
a
nat-basic
/
c
nat-basic
/
a
nat-basic
/
eq-01
list
/address-list-set/
a
nat-basic
/
succ
list
/address-list-set/
len-05
list
/address-list-set/
c
store
/node-index/
in-neq
store
/node-index/
At-other