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Theorem validrefs-set-null

⊦ validrefs(str, refs + refs0, ty, st) ∧ ¬ dups(refs) ∧ refs ≠ [] ∧ is_obj(str, refs .last, st) ∧ fs ' ∈ instfields(st[refs .last -- _type] .type .class) ∧ is_reftype(fs .type) ∧ refs0 ≠ [] → validrefs(str, refs + jvmref ', ty, st[refs .last -- fs ', refval(jvmref)])

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: 14
Proof steps: 60
Used lemmas: validrefs-array, validrefs-null-01, validrefs-class, validrefs-is-junk, validrefs-null,
Used spec theorems:
- addfuns/is-valid-ref-stronger-def
- addfuns/is_obj-put-samefield-01
Used simplifier rules:
- int-abs/lels-03
- int-abs/lels-04
- javastore/at-other-01
- int-abs/lels
- int-abs/lels-01
- okfuns/is_array-put-01
- addfuns/isarray-isobj-01
- list/references/in-append
- list/references/in-14
- int-abs/forward-le-01
- int-abs/forward-le-05
- store/javastore/At-same
- javavalue/sel-09
- list/references/first
- list/references/e-02
- list-last/references/lin-02
- list-last/references/lin-01
- addfuns/is_obj-put-01
- javastore/look-ins
- list-last/references/l-02
- list/references/first-01
- fieldspec/sel-03
- okfuns/oktype-okval
- valuefuns/okval-refval
- javavalue/test-19
- javavalue/elim-13
- fieldspec/elim
- list-data/references/elim-list-c
- javastore/at-other-16
- refkey/inj-01
- refkey/inj
- addfuns/instfields-type-01
- list/references/in-empty
- list-dup/references/e-01
- list-last/references/l
- list/references/app
- list/references/Nil
- list/references/app-02-ant
- list-dup/references/dups-cons
- list/references/a
- list/references/e-01
- list/references/c