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Proof step 13 from proof junkrefs-put-refval-02 (previous step)

mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st[r -- i ', refval(r0)]), ∀ st0, r2, r3, str0, ty0, i0. mkarraytype(st0[r2 -- _type] .type) ≤ st0[r3 -- _type] .type ∧ junkrefs(str0, st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0[r3 -- i0 ', refval(r2)]) → r3 = jvmref ∨ r2 = jvmref ∨ junkrefs(str0, st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0) ∨ junkref(str0, r2, st0) ⊦ r1 = jvmref, r0 = jvmref, r = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st[r1 -- mkfs(class, ty1, fieldvar) '] = refval(r4), mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, r4 ' + refs, ty1, st[r -- i ', refval(r0)]), ∀ st0, r2, r3, str0, ty0, i0. mkarraytype(st0[r2 -- _type] .type) ≤ st0[r3 -- _type] .type ∧ junkrefs(str0, r4 ' + refs, ty0, st0[r3 -- i0 ', refval(r2)]) → r3 = jvmref ∨ r2 = jvmref ∨ junkrefs(str0, r4 ' + refs, ty0, st0) ∨ junkref(str0, r2, st0) ⊦ r1 = jvmref, r0 = jvmref, r = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + r4 ' + refs, ty, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r1 -- mkfs(class, ty1, fieldvar) '], r4] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r1 -- mkfs(class, ty1, fieldvar) '], r4)]]