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Proof step 11 from proof junkref-primarray-level-01 (previous step)

st[r -- _type] .type .type = st[r0 -- _type] .type, st[r -- i '] = refval(r0), is_array(str1, r, st), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, junkrefs(str, r0 ' + refs1, st[r -- _type] .type .type, st), ∀ str1, st0, r1, str, refs. # refs < # (r0 + refs1) → ( junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → has_classtype(st0[r1 -- _type] .type) ∨ junkrefs(str1, r1 ' + refs, st0[r1 -- _type] .type, st0)) ⊦ r = jvmref, has_classtype(st[r -- _type] .type), junkrefs(str1, r0 ' + refs1, st[r -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _type] .type .type = st[r0 -- _type] .type, st[r -- i '] = refval(r0), is_array(str1, r, st), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st), ∀ str1, st0, r1, str, refs. # refs < # (r0 + refs1) → ( junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → has_classtype(st0[r1 -- _type] .type) ∨ junkrefs(str1, r1 ' + refs, st0[r1 -- _type] .type, st0)) ⊦ r = jvmref, has_classtype(st[r -- _type] .type), junkrefs(str1, r0 ' + refs1, st[r0 -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]