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Proof step 5 from proof cyclic-putbyte (previous step)

okbytearray(r1, st), dups(refs), validrefs(str, refs, st[refs .first -- _type] .type, st[r1 -- i ', byteval(by)]) ⊦ cyclic(str, refs .first, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[r -- _type] .type, st))
Proof step 4:
okbytearray(r1, st), dups(refs), validrefs(str, refs, st[refs .first -- _type] .type, st[r1 -- i ', byteval(by)]) ⊦ ∃ refs0. dups(refs0) ∧ refs0 .first = refs .first ∧ validrefs(str, refs0, st[refs .first -- _type] .type, st)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: cyclic-def-simple antecedent: succedent: cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[r -- _type] .type, st)) substlist: [st, r, str] → [st, refs .first, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, refs .first, str)]]