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Proof step 31 from proof unchNorec-validrefs-pathex (previous step)

validrefs(str, r1 ' + refs1 + r0 ' + refs, ty, st), ∀ r. r = r1 ∨ r ∈ refs1 ∨ r = r0 ∨ r ∈ refs → unchangedNorec(r, st, st0) ⊦ r0 = r1, ∃ refs. refs ≠ [] ∧ refs .first = r1 ∧ refs .last = r0 ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st0)

User applied rule exists right

And obtained the following new goals

Proof step 30:
validrefs(str, r1 ' + refs1 + r0 ' + refs, ty, st), ∀ r. r = r1 ∨ r ∈ refs1 ∨ r = r0 ∨ r ∈ refs → unchangedNorec(r, st, st0) ⊦ r0 = r1, r1 ' + refs1 + r0 ' ≠ [] ∧ (r1 ' + refs1 + r0 ') .first = r1 ∧ (r1 ' + refs1 + r0 ') .last = r0 ∧ validrefs(str, r1 ' + refs1 + r0 ', mkclasstype(`java.lang.Object' .class), st0)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (r1 ' + refs1 + r0 ') abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r1 ' + refs1 + r0 ')]]