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

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

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r0 -- mkfs(class, ty1, fieldvar) '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r0 -- mkfs(class, ty1, fieldvar) '], r2)]]