[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem range-rem-in
⊦ ri-cons(ri, nodes(gstore, ginval)) ∧ key ∈ ri → range(ri -- key) = range ri -- ri[key]
Type: A user defined theorem
Validity: The proof is valid.
Features: s,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 28
Used lemmas:
nodes-gstore-at
,
nodes-gstore-in
,
Used spec theorems:
set-basic
/node-store/
Extension
aubifs-inv
/
ri-cons
aubifs-inv
/
key-cons
store+set
/node-index/
Data-in
Used simplifier rules:
set-union
/node-store/
Delete
aubifs-base
/
range
gjournal-abs
/
in-ri
store+set
/node-index/
Data-in-del
store
/node-index/
Del-at-strong
address-data
/
elim
store
/node-store/
notmemlookup
address-data
/
sel-03
groupnode
/
elim
store
/node-index/
Del-at
store
/node-index/
Del-in