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Proof step 60 from proof validrefs-putbyte-01 (previous step)

okbytearray(r, st) ∧ validrefs(str, refs, ty, st[r -- i ', byteval(by)]), ∀ by, i, ty, str, st, r, refs0. # refs0 < # refs → (okbytearray(r, st) ∧ validrefs(str, refs0, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs0, ty, st)) ⊦ refs = [], validrefs(str, refs, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ refs = [] ↔ ¬ (∃ r, refs0. refs = r ' + refs0)
Proof step 59:
okbytearray(r, st) ∧ validrefs(str, refs, ty, st[r -- i ', byteval(by)]), ∀ by, i, ty, str, st, r, refs0. # refs0 < # refs → (okbytearray(r, st) ∧ validrefs(str, refs0, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs0, ty, st)) ⊦ ∀ r, refs0. refs ≠ r ' + refs0, validrefs(str, refs, ty, st)

Rule argument

[speclemmaarg: ,refs = [] ↔ ¬ (∃ r, refs0. refs = r ' + refs0) ,[refs] → [refs] ,F ,list ,references-olista ,elim-first ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (refs)]]