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Theorem validrefs-primarray
⊦ is_primtype(ty) → (validrefs(str, refs, mkarraytype(ty), st) ↔ refs = [] ∨ refs = jvmref ' ∨ okarray(refs .first, ty, st) ∧ refs .rest = [])
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: 42
Used lemmas:
validrefs-array
,
validrefs-null
,
validrefs-null-01
,
validrefs-null-02
,
validrefs-is-junk
,
validrefs-empty
,
Used spec theorems:
typefuns
/
le-noreftype-01
okfuns
/
is-real-array-def
okfuns
/
is-any-array
okfuns
/
okarrayNotNull
okfuns
/
okreftype
Used simplifier rules:
typefuns
/
le-noreftype
javavalue
/
sel-04
typefuns
/
prim-abstract
typefuns
/
is_primtype-02
typefuns
/
elemtype-07
typefuns
/
is_primtype-01
typefuns
/
typeex-array
javavalue
/
sel-11
javavalue
/
test-92
javavalue
/
elim-10
javavalue
/
sel-09
javavalue
/
test-25
javavalue
/
elim-02
int-abs
/
lels-04
int-abs
/
lels-03
valuefuns
/
okval-refval
typefuns
/
prim-void
storefuns
/
instore-01
okfuns
/
oktype-okval
int-abs
/
lels
int-abs
/
lels-01
okfuns
/
is_array-length-07
typefuns
/
is_primtype-03
javavalue
/
test-19
javavalue
/
elim-13
javatype
/
sel-01
okfuns
/
okarray-05
int-abs
/
forward-le-01
int-abs
/
forward-le-05
okfuns
/
is_array-okarray-01
typefuns
/
subarray1
javatype
/
test-09
javatype
/
elim-01
addfuns
/
is_valid_ref-array-01
okfuns
/
okarray-04
list
/references/
c-03
list
/references/
c-04
list
/references/
app
typefuns
/
array
list
/references/
a
list
/references/
e-01
list
/references/
c
list-data
/references/
elim-list-c