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Proof step 43 from proof pathexplus-pathex (previous step)

validrefs(str, r ' + refs + r0 ', mkclasstype(`java.lang.Object' .class), st), is_valid_ref(str, r, st) ⊦ r = r0, r = jvmref, validrefs(str, r ' + refs, mkclasstype(`java.lang.Object' .class), st)

User applied rule insert lemma

And obtained the following new goals

Proof step 42:
⊦ ¬ validrefs(str, refs, ty, st) → ¬ validrefs(str, refs + refs0, ty, st)

Rule argument

[LEMMAARG : validrefs-prefix, [str, refs, ty, st, refs0] → [str, r ' + refs, mkclasstype(`java.lang.Object' .class), st, r0 ']]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, r ' + refs, mkclasstype(`java.lang.Object' .class), st, r0 ')]]