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Proof step 68 from proof contains-field-def-case (previous step)

type∃(str, ty), is_reftype(ty0), contains(str, ty ' + tys + ty0 '), is_classtype(ty0) → ¬ interface∃(str, ty0 .class) ∧ fs ' ∈ instfields(ty0 .class), is_arraytype(ty0) → fs ' = _length ⊦ ∃ tys. tys ≠ [] ∧ tys .first ≤ ty ∧ contains(str, tys) ∧ is_reftype(tys .last) ∧ (is_classtype(tys .last) → ¬ interface∃(str, tys .last .class) ∧ fs ' ∈ instfields(tys .last .class)) ∧ (is_arraytype(tys .last) → fs ' = _length)

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 1, [extquanttermlist: (ty ' + tys + ty0 ') abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (tys + tys0) + tys1 = tys + tys0 + tys1], [CSIMPSEQ : ⊦ ¬ tys + tys0 ≠ [] ↔ tys = [] ∧ tys0 = []], [CSIMPSEQ : ⊦ ty ' ≠ []], [CSIMPSEQ : ⊦ (ty ' + tys) .first = ty], [CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ (ty ' + tys + ty0 ') .last = ty0])], [EXTRATERMS : (ty ' + tys + ty0 ')]]