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Proof step 7 from proof validrefs-bytearray-01 (conclusion)

⊦ validrefs(str, refs, mkarraytype(byte_type), st) ↔ refs = [] ∨ refs = jvmref ' ∨ okbytearray(refs .first, st) ∧ refs .rest = []

User applied rule insert elim lemma

And obtained the following new goals

Proof step 1:
⊦ validrefs(str, [], ty, st)
Proof step 6:
refs = r + refs0 ∧ refs ≠ [] ⊦ validrefs(str, refs, mkarraytype(byte_type), st) ↔ refs = [] ∨ refs = jvmref ' ∨ okbytearray(r, st) ∧ refs0 = []

Rule argument

[speclemmaarg: ,refs ≠ [] → (r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0) ,[refs, r, refs0] → [refs, r, refs0] ,T ,list-data ,references-olista ,elim-1 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ refs ≠ [] → ( r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0)])], [EXTRATERMS : (refs, r, refs0)]]