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Proof step 31 from proof validrefs-delcycle (previous step)

refs1 .last = jvmref, acc + r ' = r1 ' + refs, st[r0 -- i '] = refval(r1), is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, validrefs(str, acc + r ' + refs0 + r ' + refs1, st[r0 -- _type] .type .type, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, ∀ str, r, refs0, refs1, ty, st. validrefs(str, acc + r ' + refs0 + r ' + refs1, ty, st) ∧ refs1 ≠ [] ∧ refs1 .last = jvmref → validrefs(str, acc + r ' + refs1, ty, st) ⊦ r0 = jvmref, refs1 = [], validrefs(str, acc + r ' + refs1, st[r0 -- _type] .type .type, st), r ≠ r1 ∧ ¬ r ∈ refs, ¬ r1 ∈ acc ∧ r1 ≠ r

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 10, [QUANTTERMLIST : (str, r, refs0, refs1, st[r0 -- _type] .type .type, st)]]

Additional information

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