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Proof step 21 from proof validrefs-applast-array-null (previous step)

st[r -- i '] .refval = jvmref, validrefs(str, refs + r ', ty, st), is_array(str, r, st), i < st[r -- _length] .intval, is_reftype(st[r -- _type] .type .type), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ validrefs(str, refs + r ' + jvmref ', ty, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ jvmref = st[r -- i0 '] .refval

User applied rule exists right

And obtained the following new goals

Proof step 20:
st[r -- i '] .refval = jvmref, validrefs(str, refs + r ', ty, st), is_array(str, r, st), i < st[r -- _length] .intval, is_reftype(st[r -- _type] .type .type), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ validrefs(str, refs + r ' + jvmref ', ty, st), ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ jvmref = st[r -- i '] .refval

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

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