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Proof step 115 from proof validrefs-not-contains (previous step)

st[r -- i '] = refval(r1), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, validrefs(str, r1 ' + refs0 + r1 ', st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ r1 = jvmref, r = r1, r = jvmref, contains(str, st[r -- _type] .type ' + [] + st[r1 -- _type] .type ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 114:
st[r -- i '] = refval(r1), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, validrefs(str, r1 ' + refs0 + r1 ', st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ r1 = jvmref, r = r1, r = jvmref, contains(str, st[r -- _type] .type ' + st[r1 -- _type] .type ')

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (tys + tys0) + tys1 = tys + tys0 + tys1], [CSIMPSEQ : ⊦ [] + tys = tys])]]