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Proof step 25 from proof unchanged-rec-generic (previous step)

sk .fs = mkfs(class, ty, fieldvar), st[r -- sk] = refval(r0), unchanged(str, r, st, st0), is_arraytype(st[r -- _type] .type), is_indexkey(sk), sk .index < st[r -- _length] .intval, 0 ≤ sk .index, 0 < st[r -- _length] .intval, is_array(str, r, st) ⊦ r = jvmref, junkref(str, r, st), unchanged(str, r0, st, st0)

User applied rule insert lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchanged-array-forward antecedent: succedent: unchanged(str, r, st, st1) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_array(str, r, st) ∧ is_referencevalue(st[r -- i ']) ∧ r ≠ jvmref ∧ ( st[r -- i '] .refval ≠ jvmref → st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ is_valid_ref(str, st[r -- i '] .refval, st)) → unchanged(str, st[r -- i '] .refval, st, st1) substlist: [str, r, st, st1, i] → [str, r, st, st0, sk .index] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

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