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

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

User applied rule cut formula

And obtained the following new goals

Proof step 8:
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
Proof step 20:
st[r0 -- _type] .type = mkclasstype(class), path∃(str, r, r0, st), fs ' ∈ instfields(class) ⊦ r = r0, 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

Rule argument

[fma-arg: r = r0]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r = r0)]]