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Theorem contains-objectarray
⊦ ty .jtelemtype = mkclasstype(`java.lang.Object' .class) → ( contains(str, ty, ty0) ↔ type∃(str, ty0) ∧ ty0 ≤ mkclasstype(`java.lang.Object' .class) ∧ is_arraytype(ty) ∨ contains(str, mkclasstype(`java.lang.Object' .class), ty0))
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: 13
Proof steps: 28
Used lemmas:
contains-type-rec
,
contains-array-elemtype-02
,
contains-array-elemtype-08
,
contains-typeex-03
,
Used spec theorems:
typefuns
/
elemtype-base
Used simplifier rules:
typefuns
/
subarray1
typefuns
/
subclass
predefined
/
le-01
javatype
/
test-16
javatype
/
sel-01
typefuns
/
isreftype-05
typefuns
/
typeex-array
typefuns
/
dims-succ
intnat
/
labs
int-abs
/
lels
int-abs
/
abs-le-succ
typefuns
/
dims-pos
int-basic2
/
add-a
int-basic2
/
add-c
typefuns
/
subbasic1
typefuns
/
elemtype-base
typefuns
/
typeex-class
typefuns
/
tdname+predef-01
javatype
/
test-10
javatype
/
test-09
javatype
/
elim-01
typefuns
/
elemtype-rec
javatype
/
test-28
typefuns
/
subtype-object