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Proof step 13 from proof unchanged-pathex-append (previous step)

refs = r + refs1, validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st), unchanged(str, r, st, st1), validrefs(str, refs .last ' + refs0, mkclasstype(`java.lang.Object' .class), st), r1 = refs .last ∨ r1 ∈ refs0 ⊦ refs = [], path∃(str, refs .last, (refs .last ' + refs0) .last, st1), unchangedNorec(r1, st, st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), unchanged(str, r, st, st1), validrefs(str, (r ' + refs1) .last ' + refs0, mkclasstype(`java.lang.Object' .class), st), r1 = (r ' + refs1) .last ∨ r1 ∈ refs0 ⊦ unchangedNorec(r1, st, st1), path∃(str, (r ' + refs1) .last, ((r ' + refs1) .last ' + refs0) .last, st1)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]