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Theorem mapex-new
¬ r ∈ rs, r ≠ null ⊦ hP[rs, f] ↔ (r =>_ * hP)[rs ++ r, f]
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
heap-aux
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 18
Used lemmas:
at-mk
,
in-mk
,
apply
,
Used spec theorems:
maplet
/
mapex-new
maplet
/
map-put
maplet
/
map-del
heap
/
ext
heap
/
at-del
Used simplifier rules:
set-basic
/refset/
in-03
heap
/
in-alloc
heap
/
at-write
heap
/
in-write
heap
/
del-new
heap
/
write-del
set-basic
/refset/
in-02
heap
/
in-del
set-basic
/refset/
in