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Proof step 172 from proof cyclic-pseq (previous step)

r0 ∈ refs, st[r2 -- _type] = st1[r1 -- _type], st[r2 -- _length] .intval = st1[r1 -- _length] .intval, 0 ≤ i, 0 < st1[r1 -- _length] .intval, ps=(st[r2 -- i '] .refval, st, st1[r1 -- i '] .refval, st1), is_arraytype(st1[r1 -- _type] .type), is_array(str, r2, st), is_array(str, r1, st1), i < st1[r1 -- _length] .intval, is_referencevalue(st[r2 -- i ']), validrefs(str, (st[r2 -- i '] .refval ' + refs) + r0 ', st1[r1 -- _type] .type .type, st), ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ ¬ is_referencevalue(st[r2 -- i ']) → st[r2 -- i '] = st1[r1 -- i '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r2 = jvmref, r1 = jvmref, r2 = st[r2 -- i '] .refval, ∃ refs. dups(refs) ∧ refs .first = st[r2 -- i '] .refval ∧ validrefs(str, refs, st[st[r2 -- i '] .refval -- _type] .type, st), cyclic(str, r1, st1), junkref(str, r1, st1), junkref(str, r2, st), dups(refs), st[r2 -- i '] .refval ∈ refs, r2 ∈ refs, r0 ≠ r2 ∧ r0 ≠ st[r2 -- i '] .refval ∧ ¬ r0 ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]