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Proof step 21 from proof nopathex-badarrayfield (previous step)

fs ' = _length, is_valid_ref(str, r, st), validrefs(str, r ' + refs + r0 ', st[r -- _type] .type, st), is_arraytype(st[r0 -- _type] .type), contains(str, st[r -- _type] .type ' + tys + st[r0 -- _type] .type '), type∃(str, st[r -- _type] .type) ⊦ r = r0, r0 = jvmref, r = jvmref, ∃ tys0. tys0 ≠ [] ∧ tys0 .first ≤ st[r -- _type] .type ∧ contains(str, tys0) ∧ is_reftype(tys0 .last) ∧ (is_classtype(tys0 .last) → ¬ interface∃(str, tys0 .last .class) ∧ _length ∈ instfields(tys0 .last .class))

User applied rule exists right

And obtained the following new goals

Proof step 20:
fs ' = _length, is_valid_ref(str, r, st), validrefs(str, r ' + refs + r0 ', st[r -- _type] .type, st), is_arraytype(st[r0 -- _type] .type), contains(str, st[r -- _type] .type ' + tys + st[r0 -- _type] .type '), type∃(str, st[r -- _type] .type) ⊦ r = r0, r0 = jvmref, r = jvmref, st[r -- _type] .type ' + tys + st[r0 -- _type] .type ' ≠ [] ∧ (st[r -- _type] .type ' + tys + st[r0 -- _type] .type ') .first ≤ st[r -- _type] .type ∧ contains(str, st[r -- _type] .type ' + tys + st[r0 -- _type] .type ') ∧ is_reftype((st[r -- _type] .type ' + tys + st[r0 -- _type] .type ') .last) ∧ ( is_classtype((st[r -- _type] .type ' + tys + st[r0 -- _type] .type ') .last) → ¬ interface∃(str, (st[r -- _type] .type ' + tys + st[r0 -- _type] .type ') .last .class) ∧ _length ∈ instfields((st[r -- _type] .type ' + tys + st[r0 -- _type] .type ') .last .class))

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: ( st[r -- _type] .type ' + tys + st[r0 -- _type] .type ') abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- _type] .type ' + tys + st[r0 -- _type] .type ')]]