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Proof step 15 from proof junkrefs-union (previous step)

st[r -- _type] = typeval(mkclasstype(class0)), (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), class+∃(str, class0), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0) → goodfieldandtype(r, mkfs(class, ty1, fieldvar) ', st), ∀ sk. sk ∈ instfields(class0) → goodfieldandtype(r, sk, st), r -- _type ∈ st, junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), r ∈ st, mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), class0 ≤ class1, ∀ str0, ty0, st1, st2. junkrefs(str0, r0 ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_abstract(class0), is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']) ∧ r0 = st[r -- mkfs(class, ty1, fieldvar) '] .refval ∧ junkrefs(str, st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(class0)), okval(refval(r0), ty1), r -- mkfs(class, ty1, fieldvar) ' ∈ st, class0 ≤ class1, mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), r ∈ st, junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), r -- _type ∈ st, class+∃(str, class0), ∀ str0, ty0, st1, st2. junkrefs(str0, r0 ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, r0 ' + refs, ty0, st2), ∀ sk. sk ∈ instfields(class0) → goodfieldandtype(r, sk, st) ⊦ r = jvmref, is_abstract(class0), junkrefs(str, r0 ' + refs, ty1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]], [CSIMPSEQ : ⊦ goodfieldandtype (r, mkfs(class1, ty, fieldvar) ', st) ↔ r -- mkfs(class1, ty, fieldvar) ' ∈ st ∧ okval (st[ r -- mkfs (class1, ty, fieldvar) '], ty)])]]