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Proof step 35 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) ⊦ r1 = jvmref, sk = _type, r1 = r0, junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st[r0 -- sk, val]), ¬ i < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i ∧ is_referencevalue(st[r1 -- i ']) ∧ ( st[r1 -- i '] .refval ≠ jvmref ∧ st[st[r1 -- i '] .refval -- _type] .type ≤ st[r1 -- _type] .type .type ∧ path∃(str, st[r1 -- i '] .refval, r0, st) ∨ st[r1 -- i '] .refval = jvmref ∧ r0 = jvmref)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
st[r1 -- i '] = refval(r2), path∃(str, r2, r0, st), junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st), i < st[r1 -- _length] .intval, is_valid_ref(str, r0, st), 0 < st[r1 -- _length] .intval, 0 ≤ i, is_array(str, r1, st), st[r1 -- _type] .type ≤ ty ⊦ r1 = r0, sk = _type, r1 = jvmref, r2 = jvmref, junkrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st[r0 -- sk, val]), st[r2 -- _type] .type ≤ st[r1 -- _type] .type .type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ junkrefs (str, jvmref ' + refs, ty, st)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]