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Proof step 11 from proof unchanged-pathex (previous step)

refs = r + refs0, validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st), unchanged(str, r, st, st1) ⊦ refs = [], validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
unchanged(str, r, st, st1), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st1)

Rule argument

[emptyarg]

Additional information

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