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Proof step 7 from proof unchanged-lookup-generic (previous step)

is_arraytype(st0[r0 -- _type] .type), st[r0 -- _type] = st0[r0 -- _type], path∃(str, r, r0, st), path∃(str, r, r0, st0), is_arraytype(st0[r0 -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r0 -- _length] .intval, is_classtype(st0[r0 -- _type] .type) → sk ∈ instfields(st0[r0 -- _type] .type .class), is_classtype(st0[r0 -- _type] .type) → (∀ fs. fs ' ∈ instfields(st0[r0 -- _type] .type .class) → st[r0 -- fs '] = st0[r0 -- fs ']), is_arraytype(st0[r0 -- _type] .type) → st[r0 -- _length] = st0[r0 -- _length] ∧ (∀ i. ¬ i < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i → st[r0 -- i '] = st0[r0 -- i ']) ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
st[r0 -- _type] = st0[r0 -- _type], st[r0 -- _length] = st0[r0 -- _length], is_arraytype(st0[r0 -- _type] .type), path∃(str, r, r0, st), path∃(str, r, r0, st0), is_indexkey(sk), sk .index < st0[r0 -- _length] .intval, 0 ≤ sk .index, 0 < st0[r0 -- _length] .intval, ∀ i. ¬ i < 0 ∧ ¬ st0[r0 -- _length] .intval ≤ i → st[r0 -- i '] = st0[r0 -- i '] ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDFORWARD : int-abs, , forward-le-01, ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPNAMEDFORWARD : int-abs, , forward-le-05, ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPNAMEDSEQ : javatype, , diff-01, ⊦ is_arraytype(ty) → ¬ is_classtype(ty)])]]