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Proof step 45 from proof junkrefs-put-refval-01 (previous step)

0 ≤ i, 0 < st[r1 -- _length] .intval, is_array(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, is_array(str, r1, st), st[r0 -- _type] .type ≤ ty0, i < st[r1 -- _length] .intval, is_referencevalue(st[r1 -- i ']), junkrefs(str, st[r1 -- i '] .refval ' + refs, st[r1 -- _type] .type .type, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str0, ty1, st0, r, fs, r2. ¬ junkrefs(str0, st[r1 -- i '] .refval ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ st0[r -- _type] .type ≤ fs .type ∧ r ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str0, st[r1 -- i '] .refval ' + refs, ty1, st0[r2 -- fs ', refval(r)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ st[r1 -- i '] .refval = st[r1 -- i0 '] .refval ∧ junkrefs(str, st[r1 -- i '] .refval ' + refs, st[r1 -- _type] .type .type, st)

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 '], r3] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r1 -- i '], r3)]]