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Proof step 9 from proof unchNorec-sym (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 6:
st[r -- _type] = st0[r -- _type], is_classtype(st0[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st0[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs ']), is_arraytype(st0[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i → st[r -- i '] = st0[r -- i ']) ⊦ is_classtype(st0[r -- _type] .type) → (fs ' ∈ instfields(st0[r -- _type] .type .class) → st0[r -- fs '] = st[r -- fs ']), r = jvmref
Proof step 8:
st[r -- _type] = st0[r -- _type], is_classtype(st0[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st0[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs ']), is_arraytype(st0[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i → st[r -- i '] = st0[r -- i ']) ⊦ is_arraytype(st0[r -- _type] .type) → st0[r -- _length] = st[r -- _length] ∧ (0 ≤ i ∧ i < st0[r -- _length] .intval → st0[r -- i '] = st[r -- i ']), r = jvmref

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]