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Proof step 14 from proof unchNorec-transitivity (previous step)

st[r -- _type] = st1[r -- _type], st0[r -- _type] = st1[r -- _type], unchangedNorec(r, st, st0), unchangedNorec(r, st0, st1), is_arraytype(st1[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 → st[r -- i0 '] = st0[r -- i0 ']), is_classtype(st1[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st1[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs ']), is_classtype(st1[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st1[r -- _type] .type .class) → st0[r -- fs '] = st1[r -- fs ']), is_arraytype(st1[r -- _type] .type) → st0[r -- _length] = st1[r -- _length] ∧ (∀ i0. ¬ i0 < 0 ∧ ¬ st0[r -- _length] .intval ≤ i0 → st0[r -- i0 '] = st1[r -- i0 ']) ⊦ is_classtype(st1[r -- _type] .type) → (fs ' ∈ instfields(st1[r -- _type] .type .class) → st[r -- fs '] = st1[r -- fs ']), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- _type] = st1[r -- _type], st0[r -- _type] = st1[r -- _type], fs ' ∈ instfields(st1[r -- _type] .type .class), is_classtype(st1[r -- _type] .type), unchangedNorec(r, st, st0), unchangedNorec(r, st0, st1), ∀ fs. fs ' ∈ instfields(st1[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs '], ∀ fs. fs ' ∈ instfields(st1[r -- _type] .type .class) → st0[r -- fs '] = st1[r -- fs '] ⊦ st[r -- fs '] = st1[r -- fs '], r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → ¬ is_arraytype(ty)])]]