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Proof step 11 from proof cyclic-put-badclassfield (previous step)

is_classtype(st[r0 -- _type] .type), r1 ∈ refs, validrefs(str, refs + r1 ', st[refs .first -- _type] .type, st[r0 -- fs ', val]) ⊦ fs ' = _type, cyclic(str, refs .first, st), junkref(str, refs .first, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
refs = r + refs0 ∧ refs ≠ [], is_classtype(st[r0 -- _type] .type), r1 ∈ refs, validrefs(str, refs + r1 ', st[r -- _type] .type, st[r0 -- fs ', val]) ⊦ fs ' = _type, cyclic(str, r, st), junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs)

Rule argument

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

Additional information

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