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Proof step 8 from proof junkrefs-union (previous step)

st[r -- _type] .type ≤ ty, junkrefs(str, r ' + acc, ty, st0 ∪ st), is_obj(str, r, st), ∀ str, ty, st0, st. junkrefs(str, acc, ty, st0 ∪ st) → junkrefs(str, acc, ty, st) ⊦ r = jvmref, (st0 ∪ st)[r -- _type] .type ≤ ty, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,rk ∈ st0 → (st ∪ st0)[rk] = st0[rk] ,[rk, st0, st] → [r -- _type, st, st0] ,F ,storefunsx , ,union-at-right-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ r -- _type ∈ st → ¬ is_obj(str, r, st)])], [EXTRATERMS : (r -- _type, st, st0)]]