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Proof step 6 from proof nopathex-badclassfield (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ contains(str, ty ') ↔ type∃(str, ty)
Proof step 5:
st[r0 -- _type] .type = mkclasstype(class), is_valid_ref(str, r0, st), fs ' ∈ instfields(class), interface∃(str, class) ⊦ fs ' = _type, r0 = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ interface∃(str, class) → tdname+∃(str, class)], [CSIMPSEQ : ⊦ ¬ is_arraytype(mkclasstype(class))], [CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ is_reftype(mkclasstype(class))], [CSIMPSEQ : ⊦ ty ' .last = ty], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)], [CSIMPSEQ : ⊦ class ≤ class], [CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2], [CSIMPSEQ : ⊦ ty ' .first = ty], [CSIMPSEQ : ⊦ ty ' ≠ []])]]