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Proof step 60 from proof pathex-put-cyclic (previous step)

st[refs .last -- _type] .type = mkclasstype(class0), validrefs(str, refs, st[refs .first -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[refs .first -- _type] .type ≤ ty ⊦ refs .first = jvmref, refs .last = jvmref, refs = [], refs .first = refs .last, dups(refs), ∃ refs0. dups(refs0) ∧ refs0 .first = refs .last ∧ validrefs (str, refs0, (st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(refs .first)][refs0 .first -- _type]) .type, st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(refs .first)])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 59:
refs = r + refs1, st[refs .last -- _type] .type = mkclasstype(class0), validrefs(str, refs, st[r -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r -- _type] .type ≤ ty ⊦ r = jvmref, refs .last = jvmref, refs = [], r = refs .last, dups(refs), ∃ refs0. dups(refs0) ∧ refs0 .first = refs .last ∧ validrefs (str, refs0, (st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(r)][refs0 .first -- _type]) .type, st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(r)])

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs, r, refs1] ,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, refs1)]]