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Theorem all-classes-02
⊦ ∃ str. ∀ rk. rk ∈ rks ∧ is_fskey(rk .key) → # rk .key .fs .class .class < # str
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
all-classes-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 32
Used lemmas:
Used spec theorems:
set-basic
/javastore/
sel
Used simplifier rules:
refkey
/
inj
storekey
/
inj-03
fieldspec
/
inj
classname
/
inj
nat-basic1
/
ls-02
nat
/
lels-03
nat
/
succ-01
string-append
/
assoc
string-less
/
Length-rec
string-append
/
chartostring-01
nat-basic1
/
f
nat
/
fle
nat
/
fle-01
classname
/
sel
fieldspec
/
sel-01
storekey
/
sel-05
refkey
/
sel-02
classname
/
elim
fieldspec
/
elim
storekey
/
test-05
storekey
/
elim-03
refkey
/
elim
set-union
/javastore/
del-rax
set-union
/javastore/
del-size
nat-basic1
/
one-01
nat
/
lels-01
nat
/
ls-01
nat-basic2
/
s
nat-basic1
/
ref-1
nat-basic2
/
a
nat-basic2
/
c
set-basic
/javastore/
size-zero
set-basic
/javastore/
size-zero-01
set-basic
/javastore/
In-empty
nat
/
lels