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Proof step 124 from proof validrefs-not-contains (previous step)

st[r -- i '] = refval(r0), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, validrefs(str, r0 ' + refs0 + r1 ', st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval, contains(str, st[r0 -- _type] .type ' + tys + st[r1 -- _type] .type '), is_reftype(st[r -- _type] .type), type∃(str, st[r -- _type] .type), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ st[r -- _type] .type .type ⊦ r0 = r1, r1 = jvmref, r = r1, r = jvmref, r0 = jvmref, ∃ ty0. ty0 ≤ st[r -- _type] .type ∧ type∃(str, ty0) ∧ (is_classtype(ty0) → ¬ interface∃(str, ty0 .class) ∧ (∃ fs. fs ' ∈ instfields(ty0 .class) ∧ st[r0 -- _type] .type ≤ fs .type)) ∧ (is_arraytype(ty0) → st[r0 -- _type] .type ≤ ty0 .type)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 6, [QUANTTERMLIST : (st[r -- _type] .type)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ is_classtype (st[r -- _type] .type) → ¬ is_array(str, r, st)])], [EXTRATERMS : (st[r -- _type] .type)]]