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Proof step 184 from proof cyclic-pseq (previous step)

st[r2 -- _length] .intval = st1[r1 -- _length] .intval, st[r2 -- _type] = st1[r1 -- _type], validrefs(str, (st[r2 -- i '] .refval ' + refs) + st[r2 -- i '] .refval ', st1[r1 -- _type] .type .type, st), is_referencevalue(st[r2 -- i ']), i < st1[r1 -- _length] .intval, is_array(str, r1, st1), is_array(str, r2, st), is_arraytype(st1[r1 -- _type] .type), ps=(st[r2 -- i '] .refval, st, st1[r1 -- i '] .refval, st1), 0 < st1[r1 -- _length] .intval, 0 ≤ i, validrefs(str, st[r2 -- i '] .refval ' + refs + st[r2 -- i '] .refval ', st[st[r2 -- i '] .refval -- _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 = st[r2 -- i '] .refval, r1 = jvmref, r2 = jvmref, r2 ∈ refs, dups(refs), junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), st[r2 -- i '] .refval ∈ refs, ∃ refs. dups(refs) ∧ refs .first = st[r2 -- i '] .refval ∧ validrefs(str, refs, st[st[r2 -- i '] .refval -- _type] .type, st)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 10, [QUANTTERMLIST : ( st[r2 -- i '] .refval ' + refs + st[r2 -- i '] .refval ')]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ dups(r ' + refs) ↔ dups(refs) ∨ r ∈ refs], [CSIMPSEQ : ⊦ dups(refs + r ') ↔ r ∈ refs ∨ dups(refs)], [CSIMPSEQ : ⊦ r ∈ refs + refs0 ↔ ¬ ¬ (r ∈ refs ∨ r ∈ refs0)], [CSIMPSEQ : ⊦ r ∈ r0 ' ↔ r = r0], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])], [EXTRATERMS : ( st[r2 -- i '] .refval ' + refs + st[r2 -- i '] .refval ')]]