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Proof step 26 from proof pathex-addobj (previous step)

fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(refs .first) ∈ fis, fs ' ∈ instfields(class), validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, refs = [], path∃(str, r, refs .last, addobj(r, class, fis, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 25:
refs = r0 + refs0, fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(r0) ∈ fis, fs ' ∈ instfields(class), validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, refs = [], path∃(str, r, refs .last, addobj(r, class, fis, st))

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs, r0, 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, r0, refs0)]]