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Proof step 36 from proof validrefs-put-array-badindex (previous step)

st[r0 -- i0 '] = refval(r2), 0 < st[r0 -- _length] .intval, 0 ≤ i0, st[r0 -- _type] .type ≤ ty, is_array(str, r0, st[r -- i ', val]), i < 0, is_array(str, r0, st), validrefs(str, r2 ' + refs, st[r0 -- _type] .type .type, st[r -- i ', val]), i0 < st[r0 -- _length] .intval, i < st[r0 -- _length] .intval, ∀ i1, str0, ty0, st0, r1, val0. ¬ 0 ≤ i1 → (validrefs(str0, r2 ' + refs, ty0, st0[r1 -- i1 ', val0]) ↔ validrefs(str0, r2 ' + refs, ty0, st0)) ⊦ i0 = i, r0 = jvmref, validrefs(str, r2 ' + refs, st[r0 -- _type] .type .type, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 11, [QUANTTERMLIST : (i, str, st[r0 -- _type] .type .type, st, r, val)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPNAMEDSEQ : int-abs, , lels-03, ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (i, str, st[r0 -- _type] .type .type, st, r, val)]]