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Theorem junkref-put-refval-01

⊦ ¬ junkref(str, r, st) ∧ validref(str, r1, ty, st) ∧ mkarraytype(ty) ≤ st[r0 -- _type] .type ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (r1 = jvmref → is_reftype(ty)) → ¬ junkref(str, r, st[r0 -- i ', refval(r1)])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: validref-put-array-refval,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 23
Used lemmas: junkrefs-put-null-02, junkref-null, validref-def, validref-junkref, junkrefs-junkref, junkrefs-put-refval-02, junkref-def,
Used spec theorems:
- typefuns/array-le
Used simplifier rules:
- typefuns/le-noreftype-01
- javatype/test-28
- typefuns/transitivity
- javavalue/test-92
- valuefuns/typeval-xtra
- typefuns/le-04
- javavalue/elim-10
- refkey/inj-01
- refkey/inj
- specialkeys/type-03
- list/references/a
- list/references/e-01
- list/references/c
- list-data/references/elim-list-c
- javastore/type-at