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Proof step 27 from proof validrefs-maxlen (previous step)

st[r -- i '] = refval(r0), validrefs(str, r0 ' + refs, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, # st .refs ≤ # refs, is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i ⊦ r = r0, r = jvmref, validrefs(str, r0 ' + refs, st[r -- _type] .type .type, st -- r), r ∈ refs, r0 ∈ refs, dups(refs)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 26:
⊦ validrefs(str, refs, ty, st) ∧ ¬ r ∈ refs → validrefs(str, refs, ty, st -- r)

Rule argument

[crewrite-arg: validrefs-delete-03 , F , [r, st, ty, refs, str] → [r, st, st[r -- _type] .type .type, r0 ' + refs, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ≠ r0 → (r ∈ r0 ' + refs ↔ r ∈ refs)])], [EXTRATERMS : (r, st, st[r -- _type] .type .type, r0 ' + refs, str)]]