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Proof step 51 from proof pathexplus-pathex (previous step)

validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st) ⊦ refs1 = [], r = refs1 .last, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, refs .last, refs1 .last, st)

User applied rule exists right

And obtained the following new goals

Proof step 50:
validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st) ⊦ refs1 = [], r = refs1 .last, (r ' + refs1) .butlast ≠ [] ∧ (r ' + refs1) .butlast .first = r ∧ validrefs(str, (r ' + refs1) .butlast, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, (r ' + refs1) .butlast .last, refs1 .last, st)

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: ((r ' + refs1) .butlast) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : ((r ' + refs1) .butlast)]]