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Proof step 22 from proof junkrefs-union (previous step)

st[r -- _type] .type = mkclasstype(class0), (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(class0)), junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class0, st), class+∃(str, class0), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), r ∈ st, ∀ 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 21:
st[r -- _type] = typeval(mkclasstype(class0)), (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), class+∃(str, class0), is_obj(r, class0, st), r -- _type ∈ st, junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), r ∈ st, mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), is_classtype(ty), class0 ≤ ty .class, ∀ 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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ mkclasstype(class) ≤ ty ↔ is_classtype(ty) ∧ class ≤ ty .class], [CSIMPSEQ : ⊦ mkclasstype(class) = mkclasstype(class0) ↔ class = class0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty])]]