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Proof step 14 from proof pathex-trans (previous step)

validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), validrefs(str, (r ' + refs1) .last ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ refs0 = [], path∃(str, r, refs0 .last, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 6:
refs1 = [], validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), validrefs(str, (r ' + refs1) .last ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ refs0 = [], path∃(str, r, refs0 .last, st)
Proof step 13:
validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), validrefs(str, (r ' + refs1) .last ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ refs1 = [], refs0 = [], path∃(str, r, refs0 .last, st)

Rule argument

[fma-arg: refs1 = []]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (refs1 = [])]]