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Proof step 17 from proof nopathex-badclassfield (previous step)

st[r0 -- _type] .type = mkclasstype(class), type∃(str, st[r -- _type] .type), path∃(str, r, r0, st), fs ' ∈ instfields(class), contains(str, st[r -- _type] .type ' + tys + mkclasstype(class) ') ⊦ r = r0, r0 = jvmref, fs ' = _type, ∃ tys. tys ≠ [] ∧ tys .first ≤ st[r -- _type] .type ∧ 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 obtained the following new goals

Proof step 16:
st[r0 -- _type] .type = mkclasstype(class), type∃(str, st[r -- _type] .type), path∃(str, r, r0, st), fs ' ∈ instfields(class), contains(str, st[r -- _type] .type ' + tys + mkclasstype(class) ') ⊦ r = r0, r0 = jvmref, fs ' = _type, st[r -- _type] .type ' + tys + mkclasstype(class) ' ≠ [] ∧ (st[r -- _type] .type ' + tys + mkclasstype(class) ') .first ≤ st[r -- _type] .type ∧ contains(str, st[r -- _type] .type ' + tys + mkclasstype(class) ') ∧ is_reftype((st[r -- _type] .type ' + tys + mkclasstype(class) ') .last) ∧ ( is_classtype((st[r -- _type] .type ' + tys + mkclasstype(class) ') .last) → ¬ interface∃(str, (st[r -- _type] .type ' + tys + mkclasstype(class) ') .last .class) ∧ fs ' ∈ instfields((st[r -- _type] .type ' + tys + mkclasstype(class) ') .last .class)) ∧ (is_arraytype((st[r -- _type] .type ' + tys + mkclasstype(class) ') .last) → fs ' = _length)

Rule argument

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

Additional information

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