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Proof step 27 from proof junkrefs-put-badarrayfield (previous step)

st[r -- i '] = refval(r2), 0 ≤ i, 0 < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, is_array(str, r, st), is_arraytype(st[r0 -- _type] .type), i < st[r -- _length] .intval, junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, st[r0 -- fs ', val]), ∀ str0, ty0, st0, fs0, r1, val0. ¬ junkrefs(str0, r2 ' + refs, ty0, st0) ∧ fs0 ' ≠ _type ∧ is_arraytype(st0[r1 -- _type] .type) ∧ fs0 ' ≠ _length → ¬ junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs0 ', val0]) ⊦ fs ' = _length, fs ' = _type, r = jvmref, junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 9, [QUANTTERMLIST : (str, st[r -- _type] .type .type, st, fs, r0, val)]]

Additional information

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