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Proof step 45 from proof validrefs-put-notin-02 (previous step)

acc + r0 ' = st[r1 -- i '] .refval ' + refs, 0 < st[r1 -- _length] .intval, 0 ≤ i, validrefs(str, acc + r0 ', st[r1 -- _type] .type .type, st), is_referencevalue(st[r1 -- i ']), i < st[r1 -- _length] .intval, st[r1 -- _type] .type ≤ ty, okval(val, ty0), is_array(str, r1, st), ∀ str, r0, ty, st, val, ty0, class, fieldvar, r. validrefs(str, acc + r0 ', ty, st) ∧ okval(val, ty0) → mkfs(class, ty0, fieldvar) ' = _length ∨ mkfs(class, ty0, fieldvar) ' = _type ∨ validrefs(str, acc + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]) ∨ r ∈ acc ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r = r1, r1 = jvmref, validrefs(str, (r1 ' + acc) + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]), r ∈ acc, r0 ≠ st[r1 -- i '] .refval ∧ ¬ r0 ∈ refs, ¬ st[r1 -- i '] .refval ∈ acc ∧ st[r1 -- i '] .refval ≠ r0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r1 -- i '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r1 -- i '], r2)]]