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Proof step 30 from proof junkref-put-badfield (previous step)

junkrefs(str, refs, (st[r0 -- fs ', val][refs .first -- _type]) .type, st[r0 -- fs ', val]) ⊦ refs = [], junkref(str, refs .first, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 29:
refs = r + refs0, junkrefs(str, refs, (st[r0 -- fs ', val][r -- _type]) .type, st[r0 -- fs ', val]) ⊦ refs = [], junkref(str, r, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

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-list-c ]

Additional information

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