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Proof step 50 from proof pathexplus-pathex (previous step)

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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st) ⊦ refs1 = [], r = refs1 .last, validrefs(str, r ' + refs1 .butlast, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, (r ' + refs1 .butlast) .last, refs1 .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ refs ≠ [] → (refs0 + refs) .butlast = refs0 + refs .butlast])]]