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Proof step 51 from proof fits-subset (previous step)

st[r -- sk] = refval(r0), st0 ⊆ st, fits(r0, sks0, st), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, ∀ st0, st, r, str. st0 ⊆ st ∧ fits(r, sks0, st) → junkref(str, r, st0) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st0), is_referencevalue(st0[r -- sk]) ∧ (is_classtype(st0[r -- _type] .type) → sk ∈ instfields(st0[r -- _type] .type .class)) ∧ (is_arraytype(st0[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st0[r -- _length] .intval ≤ sk .index) ∧ fits(st0[r -- sk] .refval, sks0, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st) ,[st, r, str] → [st0, r, str] ,F ,junkrefs , ,junkref-is-junk ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, r, str)]]