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Proof step 24 from proof junkrefs-union (previous step)

(st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_classtype(st[r -- _type] .type) ∧ is_obj(r, st[r -- _type] .type .class, st), class+∃(str, st[r -- _type] .type .class), (st0 ∪ st)[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields((st0 ∪ st)[r -- _type] .type .class), junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), ∀ str0, ty0, st1, st2. junkrefs(str0, r0 ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_abstract(st[r -- _type] .type .class), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ 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 23:
(st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(st[r -- _type] .type .class)), junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st), class+∃(str, st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), r ∈ st, ∀ str0, ty0, st1, st2. junkrefs(str0, r0 ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_abstract(st[r -- _type] .type .class), 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 : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPFORWARD : ⊦ sk ∈ instfields (st[r -- _type] .type .class) ∧ is_obj(r, class, st) → st[r -- _type] = typeval(mkclasstype(class))], [CSIMPSEQ : ⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]])]]