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Theorem initsubset-put-statfield
⊦ validstatfield(str, rk .key, st0[rk, val]) ∧ init⊆(str, st, st0) ∧ rk .ref = jvmref ∧ (¬ is_fskey(rk .key) ∨ rk .key .fs .type ≠ void_type ∨ rk .key .fs .field ≠ `initstate' .field ∧ rk ≠ _uninit) → init⊆(str, st, st0[rk, val])
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
initsubset-put-statfield-int
,
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:
validstatfield-put-statfield
,
validstatfields-put-statfield-02
,
validstatfield-void
,
initsubset-def
,
validstatfield-index
,
Used spec theorems:
storefuns
/
init-put-04
Used simplifier rules:
storekey
/
elim-03
fieldspec
/
sel-02
fieldspec
/
sel-03
storekey
/
inj-03
fieldspec
/
inj-01
fieldname
/
inj
refkey
/
inj-01
refkey
/
inj
storefuns
/
init-put-08
storekey
/
sel-05
fieldspec
/
inj
storekey
/
test-05
fieldspec
/
elim
specialkeys
/
uninit-eq
storekey
/
test
storekey
/
test-01
refkey
/
elim