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Proof step 13 from proof cyclic-addarray-other (previous step)

newref(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, addarray(r0, ty, vals, st)) ⊦ r = r0, r0 = jvmref, junkref(str, r, st), cyclic(str, r, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ¬ validrefs(str, refs, ty, st) ∧ newref(r, st) ∧ ¬ r ∈ refs → ¬ validrefs(str, refs, ty, addarray(r, ty0, vals, st))
Proof step 12:
¬ (¬ validrefs(str, r ' + refs0, st[r -- _type] .type, st) ∧ newref(r0, st) ∧ ¬ r0 ∈ r ' + refs0), newref(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, addarray(r0, ty, vals, st)) ⊦ r = r0, r0 = jvmref, junkref(str, r, st), cyclic(str, r, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[crewrite-arg: validrefs-addarray , F , [st, vals, ty0, r, ty, refs, str] → [st, vals, ty, r0, st[r -- _type] .type, r ' + refs0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, vals, ty, r0, st[r -- _type] .type, r ' + refs0, str)]]