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Proof step 39 from proof junkrefs-put-nopathex-equiv (previous step)

st[r1 -- i '] = refval(r2), st[r1 -- _type] .type ≤ ty, is_array(str, r1, st), 0 ≤ i, 0 < st[r1 -- _length] .intval, is_valid_ref(str, r0, st), i < st[r1 -- _length] .intval, junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st), ¬ path∃(str, r2, r0, st) ∧ is_valid_ref(str, r0, st) ∧ sk ≠ _type → (junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st[r0 -- sk, val]) ↔ junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st)) ⊦ r0 = r1, r1 = jvmref, sk = _type, path∃(str, r1, r0, st), junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st[r0 -- sk, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
st[r1 -- i '] = refval(r2), st[r1 -- _type] .type ≤ ty, is_array(str, r1, st), 0 ≤ i, 0 < st[r1 -- _length] .intval, is_valid_ref(str, r0, st), i < st[r1 -- _length] .intval, junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st), path∃(str, r2, r0, st) ⊦ r0 = r1, r1 = jvmref, sk = _type, path∃(str, r1, r0, st), junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st[r0 -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]