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Proof step 22 from proof validrefs-addobj (previous step)

st[r0 -- i '] = refval(r2), 0 ≤ i, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, validrefs(str, r2 ' + refs, st[r0 -- _type] .type .type, addobj(r, class, fis, st)), ∀ str0, ty0, r1, class0, fis0, st0. validrefs(str0, r2 ' + refs, ty0, addobj(r1, class0, fis0, st0)) → validrefs(str0, r2 ' + refs, ty0, st0) ∨ r1 = r2 ∨ r1 ∈ refs ⊦ r0 = jvmref, r = r0, r = r2, r ∈ refs, 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 8, [QUANTTERMLIST : (str, st[r0 -- _type] .type .type, r, class, fis, st)]]

Additional information

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