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Proof step 53 from proof cyclic-def-simple (previous step)

¬ is_obj(str, r, st) ⊦ cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[refs .first -- _type] .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
⊦ cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[refs .first -- _type] .type, st)), is_obj(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]