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Proof step 78 from proof junkrefs-union-disjoint (previous step)

st[r -- i '] = refval(r0), st1 .refs ∩ st .refs = ∅, r ∈ st, 0 < (st1 ∪ st)[r -- _length] .intval, 0 ≤ i, st1[r -- _type] .type ≤ ty, r ∈ st1 .refs, junkrefs(str, r0 ' + acc, (st1 ∪ st)[r -- _type] .type .type, st1 ∪ st), i < (st1 ∪ st)[r -- _length] .intval, is_array(str, r, st1), (st1 ∪ st)[r -- _type] .type ≤ ty, r -- i ' ∈ st, ∀ st1, st, r, str, ty. st1 .refs ∩ st .refs = ∅ ∧ r ∈ st1 ∧ junkrefs(str, r ' + acc, ty, st1 ∪ st) → junkrefs(str, r ' + acc, ty, st1) ⊦ r = jvmref, st1 = ∅, ¬ st1[r -- _length] .intval ≤ i ∧ is_referencevalue(st1[r -- i ']) ∧ r0 = st1[r -- i '] .refval ∧ junkrefs(str, st1[r -- i '] .refval ' + acc, st1[r -- _type] .type .type, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,r ∈ st ↔ r ∈ st .refs ,[st, r] → [st, r] ,F ,storefunsx , ,instore-inrefs ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (rset ∩ rset0) ∩ rset1 = rset ∩ rset0 ∩ rset1], [CSIMPSEQ : ⊦ rset ∩ rset0 = rset0 ∩ rset], [CSIMPSEQ : ⊦ rset ∩ rset0 = ∅ ∧ r ∈ rset → (¬ ¬ r ∈ rset0 ↔ false)])], [EXTRATERMS : (st, r)]]