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Theorem diff-size
⊦ r ∈ h \ rs → (#(h \ rs) ≤ #((h -- r) \ rs) ↔ false)
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: 13
Proof steps: 28
Used lemmas:
in-diffs
,
diffs-sw
,
diffs-ins
,
diffs-emp
,
Used spec theorems:
heap
/
exin
heap
/
rm-size
heap
/
del-notin
Used simplifier rules:
nat
/
lez
nat
/
leprf
heap
/
rm-size
heap
/
in-alloc
heapfuns
/
size-write
heapfuns
/
size-alloc
nat-basic
/
z-01
nat-basic
/
a
nat-basic
/
c
heap
/
sanity
heap
/
in-del
heap
/
del-notin
nat
/
elim-pred-c
nat
/
le-def
nat-basic
/
f
nat-basic
/
oz
nat-basic
/
lf-02
nat-basic
/
lf-01
nat-basic
/
s-04
nat
/
ls-add-not-01