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Proof step 18 from proof junkrefs-put-notin (previous step)

st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r1), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, r1 ' + refs, ty1, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str0, ty0, st0, r2, sk0, val0. (junkrefs(str0, r1 ' + refs, ty0, st0[r2 -- sk0, val0]) ↔ junkrefs(str0, r1 ' + refs, ty0, st0)) ∨ r2 = r1 ∨ r2 ∈ refs ⊦ r0 = jvmref, r = r0, r = r1, r ∈ refs, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ r1 = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st[r -- sk, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), junkrefs(str, r1 ' + refs, ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ str0, ty0, st0, r2, sk0, val0. (junkrefs(str0, r1 ' + refs, ty0, st0[r2 -- sk0, val0]) ↔ junkrefs(str0, r1 ' + refs, ty0, st0)) ∨ r2 = r1 ∨ r2 ∈ refs ⊦ r = r1, r = r0, r0 = jvmref, r ∈ refs, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ r1 = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st[r -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]