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Proof step 40 from proof unchanged-fits (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: pointers instance-name: lemma-name: unchanged-rec-generic antecedent: succedent: unchanged(str, r, st, st0) ∧ ¬ junkref(str, r, st) ∧ r ≠ jvmref ∧ is_referencevalue(st[r -- sk]) ∧ ( 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) → unchanged(str, st[r -- sk] .refval, st, st0) substlist: [st0, sk, r, st, str] → [st0, sk, r, st, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

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