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Proof step 6 from proof cyclic-array (previous step)

st[r -- i '] = refval(r0), is_array(str, r, st), i < st[r -- _length] .intval, is_reftype(st[r -- _type] .type .type), st[r0 -- _type] .type ≤ st[r -- _type] .type .type, 0 ≤ i, 0 < st[r -- _length] .intval, validrefs(str, r0 ' + refs0, st[r0 -- _type] .type, st) ⊦ ¬ r0 ∈ refs0 ∧ ¬ dups(refs0), ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ validrefs(str, st[r -- i '] .refval ' + refs0, st[r -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
st[r -- i '] = refval(r0), validrefs(str, r0 ' + refs0, st[r0 -- _type] .type, st), 0 < st[r -- _length] .intval, 0 ≤ i, st[r0 -- _type] .type ≤ st[r -- _type] .type .type, is_reftype(st[r -- _type] .type .type), i < st[r -- _length] .intval, is_array(str, r, st) ⊦ validrefs(str, r0 ' + refs0, st[r -- _type] .type .type, st), ¬ r0 ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[emptyarg]

Additional information

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