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Proof step 49 from proof validrefs-put-badarrayfield-01 (previous step)

acc .first = st[r -- i '] .refval, is_arraytype(st[r0 -- _type] .type), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, acc, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval, ∀ st0, r1, str0, ty0, fs0, val0. is_arraytype(st0[r1 -- _type] .type) ∧ validrefs(str0, acc, ty0, st0) → fs0 ' = _type ∨ fs0 ' = _length ∨ junkref(str0, acc .first, st0) ∨ validrefs(str0, acc, ty0, st0[r1 -- fs0 ', val0]) ⊦ fs ' = _type, fs ' = _length, r = jvmref, acc = [], junkref(str, r, st[r0 -- fs ', val]), junkref(str, r, st), dups(acc .butlast), r ∈ acc .butlast, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ acc .first = st[r -- i0 '] .refval ∧ validrefs(str, acc, st[r -- _type] .type .type, st[r0 -- fs ', val])

User applied rule exists right

And obtained the following new goals

Rule argument

[EXRARG : pos: right 9, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

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