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Proof step 2 from proof validrefs-trans (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ refs ≠ [] ∧ validrefs(str, refs, ty, st) ∧ validrefs(str, refs .last + refs1, ty0, st) → validrefs(str, refs + refs1, ty, st)

Rule argument

[LEMMAARG : validrefs-trans-01, [refs, str, ty, st, refs1, ty0] → [refs, str, mkclasstype(`java.lang.Object' .class), st, refs1, mkclasstype(`java.lang.Object' .class)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r + refs = r ' + refs])], [EXTRATERMS : (refs, str, mkclasstype(`java.lang.Object' .class), st, refs1, mkclasstype(`java.lang.Object' .class))]]