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Proof step 12 from proof cyclic-addarray-other (previous step)

¬ (¬ 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
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), ¬ validrefs(str, r ' + refs0, st[r -- _type] .type, st) ∧ ¬ r0 ∈ refs0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ≠ r0 → (r ∈ r0 ' + refs ↔ r ∈ refs)])]]