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Proof step 52 from proof junkrefs-union (previous step)

r -- _type ∈ st, (st0 ∪ st)[r -- i '] = refval(r0), r -- _length ∈ st, junkrefs(str, r0 ' + refs, st[r -- _type] .type .type, st0 ∪ st), i < st[r -- _length] .intval, is_array(str, r, st), st[r -- _type] .type ≤ ty, 0 ≤ i, st[r -- _type] .type ≤ ty, r ∈ st, 0 < st[r -- _length] .intval, ∀ str0, ty0, st1, st2. junkrefs(str0, r0 ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .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 -- i ', st, st0] ,F ,storefunsx , ,union-at-right-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- i ', st, st0)]]