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Proof step 8 from proof nopathex-badclassfield (previous step)

r = r0, st[r0 -- _type] .type = mkclasstype(class), path∃(str, r, r0, st), fs ' ∈ instfields(class) ⊦ r0 = jvmref, fs ' = _type, type∃(str, st[r -- _type] .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)), ¬ contains(str, st[r -- _type] .type, mkclasstype(class)) ∧ r ≠ r0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
st[r0 -- _type] .type = mkclasstype(class), is_valid_ref(str, r0, st), fs ' ∈ instfields(class), tdname+∃(str, class) ⊦ fs ' = _type, r0 = jvmref, ∃ tys. tys ≠ [] ∧ tys .first ≤ mkclasstype(class) ∧ 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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)], [CSIMPSEQ : ⊦ ¬ type∃ (str, st[r -- _type] .type) ∧ r ≠ jvmref → ¬ is_valid_ref(str, r, st)], [CSIMPSEQ : ⊦ path∃(str, r, r, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st)])]]