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Proof step 17 from proof pathex-junkref (previous step)

junkref(str, refs .last, st), validrefs(str, refs, st[refs .first -- _type] .type, st) ⊦ refs = [], junkref(str, refs .first, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
refs = r + refs0, junkref(str, refs .last, st), validrefs(str, refs, st[r -- _type] .type, st) ⊦ refs = [], junkref(str, r, st)

Rule argument

[x0lemmaarg: spec-name: list-data instance-name: references lemma-name: elim-list-c antecedent: refs ≠ [] succedent: r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 substlist: [refs, r, refs0] → [refs, r, refs0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

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