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Proof step 20 from proof unchNorec-sym (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
⊦ st[r -- _type] = st0[r -- _type] ∧ (is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs '])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i → st[r -- i '] = st0[r -- i '])) ↔ st0[r -- _type] = st[r -- _type] ∧ (is_classtype(st0[r -- _type] .type) → (∀ fs. 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] ∧ (∀ i. 0 ≤ i ∧ i < st0[r -- _length] .intval → st0[r -- i '] = st[r -- i '])), r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]