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Proof step 16 from proof cyclic-def-simple (previous step)

is_array(str, r, st), refs1 = [] ∨ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs1 .first = st[r -- i '] .refval ∧ validrefs(str, refs1, st[r -- _type] .type .type, st) ⊦ r = jvmref, ¬ r ∈ refs1 ∧ ¬ dups(refs1), dups(r ' + refs1) ∧ (r ' + refs1) .first = r ∧ validrefs(str, r ' + refs1, st[(r ' + refs1) .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
is_array(str, r, st), refs1 = [] ∨ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs1 .first = st[r -- i '] .refval ∧ validrefs(str, refs1, st[r -- _type] .type .type, st) ⊦ r = jvmref, ¬ r ∈ refs1 ∧ ¬ dups(refs1), (dups(refs1) ∨ r ∈ refs1) ∧ validrefs(str, r ' + refs1, st[r -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ dups(r ' + refs) ↔ dups(refs) ∨ r ∈ refs])]]