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Theorem validref-subspec-samesubclasses
⊦ validref(str0, r, mkclasstype(class), st) ∧ same-subclasses-contains(class, str, str0) ∧ tdname+∃(str0, class) → validref(str, r, mkclasstype(class), st)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 21
Proof steps: 49
Used lemmas:
same-subclasses-subclass
,
contains-typeex-02
,
contains-supertype-04
,
same-subclasses-all-def
,
junkref-subspec-samesubclasses
,
Used spec theorems:
junkrefs
/
validref-okreftype
okfuns
/
okreftype
typefuns
/
elemtype-base
junkrefs
/
junkref-not-hasclasstype
junkrefs
/
same-subclasses-subclass
typefuns
/
classex-object-01
addfuns
/
is_valid_ref-typeex
typefuns
/
typeex-def
typefuns
/
subtype-object
typefuns
/
has-classtype
typefuns
/
subclass-01
junkrefs
/
junkref-is-junk
Used simplifier rules:
javatype
/
diff
typefuns
/
typele-object
javatype
/
test-10
typefuns
/
subclass
javatype
/
test-28
javatype
/
elim-02
typefuns
/
jtelemtype
typefuns
/
typeex-class
typefuns
/
jtclass
typefuns
/
typeex-array
typefuns
/
jtelemtype-01
typefuns
/
hasct-05
javavalue
/
sel-11
junkrefs
/
junkref-not-hasclasstype-01
typefuns
/
tdname+predef-01
typefuns
/
subarray2
javatype
/
test-09
javatype
/
elim-01
typefuns
/
elemtype-rec
javavalue
/
test-92
javavalue
/
elim-10
storefuns
/
instore-01
junkrefs
/
junkref-null
javavalue
/
sel-09
javavalue
/
test-19