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Proof step 38 from proof junkrefs-put-nopathexplus-equiv (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r -- _type] .type ≤ ty, is_obj(str, r, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + refs1, ty0, st), step∃(str, (r1 ' + refs2) .last, r0, st), validrefs(str, r1 ' + refs2, mkclasstype(`java.lang.Object' .class), st), ∀ val, sk, r0, st0, ty, r2, str, refs0. # refs0 < # (r1 + refs1) → (junkrefs(str, r2 ' + refs0, ty, st0) → junkrefs(str, r2 ' + refs0, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ sk = _type, r = jvmref, r = r0, r1 = r0, junkrefs(str, r1 ' + refs1, ty0, st[r0 -- sk, val]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']) ∧ r1 = st[r -- mkfs(class, ty0, fieldvar) '] .refval ∧ validrefs(str, st[r -- mkfs(class, ty0, fieldvar) '] .refval ' + refs2, mkfs(class, ty0, fieldvar) .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), validrefs(str, r1 ' + refs2, mkclasstype(`java.lang.Object' .class), st), step∃(str, (r1 ' + refs2) .last, r0, st), junkrefs(str, r1 ' + refs1, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ val, sk, r0, st0, ty, r2, str, refs0. # refs0 < # (r1 + refs1) → (junkrefs(str, r2 ' + refs0, ty, st0) → junkrefs(str, r2 ' + refs0, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ r1 = r0, r = r0, r = jvmref, sk = _type, junkrefs(str, r1 ' + refs1, ty0, st[r0 -- sk, val]), validrefs(str, r1 ' + refs2, ty0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]