[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 ls-union
⊦ h0 ⊥ h1 ∧ ls(r, x)(h0) → ((ls(r, y) * hP)(h0 ∪ h1) ↔ x = y ∧ hP(h1))
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 13
Used lemmas:
ls-rec
,
ls-null
,
ls-base
,
Used spec theorems:
refmap-maplet
/
map-del
heapfuns-map
/
disj
Used simplifier rules:
map-sep
/
split-union
map-sep
/
sep-ass
map-sep
/
sep-com
map-sep
/
prop-shift
map-sep
/
emp-sep
map-sep
/
and
map-sep
/
emp
map-sep
/
prop
map-sep
/
and-ass
map-sep
/
and-com
heapfuns-map
/
uni-emp-l
heapfuns-map
/
disj-emp-l
list
/
c
refmap-maplet
/
ex1-shift
list
/
a
list
/
app-02
list
/
e
refmap-maplet
/
map-null
map-sep
/
false-rev
map-sep
/
false-sep
map-sep
/
falseH
refmap-maplet
/
ex
list
/
c-06
refmap-maplet
/
map-in
map
/
notin-del-notin
cell
/
inj-tim
heapfuns-map
/
del-uni
heapfuns-map
/
in-uni
refmap-maplet
/
at-rw
heapfuns-map
/
at-uni
heapfuns-map
/
disj-rem