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Proof step 16 from proof pathex-array (previous step)

refs0 .first = st[r -- i '] .refval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, refs0, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ refs0 = [], r = refs0 .last, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ ( st[r -- i0 '] .refval ≠ jvmref ∧ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i0 '] .refval, refs0 .last, st) ∨ st[r -- i0 '] .refval = jvmref ∧ refs0 .last = jvmref)

User applied rule exists right

And obtained the following new goals

Proof step 15:
refs0 .first = st[r -- i '] .refval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, refs0, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ refs0 = [], r = refs0 .last, ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ ( st[r -- i '] .refval ≠ jvmref ∧ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i '] .refval, refs0 .last, st) ∨ st[r -- i '] .refval = jvmref ∧ refs0 .last = jvmref)

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i)]]