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Proof step 9 from proof validrefs-delcycle (previous step)

refs1 .last = jvmref, validrefs(str, r ' + refs0 + r ' + refs1, ty, st) ⊦ refs1 = [], validrefs(str, r ' + refs1, ty, st)

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ validrefs(str, refs0, st[refs0 .first -- _type] .type, st) ∧ refs0 ≠ [] → ¬ validrefs(str, refs + refs0, ty, st)
Proof step 8:
¬ validrefs(str, r ' + refs1, st[(r ' + refs1) .first -- _type] .type, st) ∧ r ' + refs1 ≠ [] → ¬ validrefs(str, (r ' + refs0) + r ' + refs1, ty, st), refs1 .last = jvmref, validrefs(str, r ' + refs0 + r ' + refs1, ty, st) ⊦ refs1 = [], validrefs(str, r ' + refs1, ty, st)

Rule argument

[LEMMAARG : validrefs-postfix, [str, refs0, st, refs, ty] → [str, r ' + refs1, st, r ' + refs0, ty]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r ' + refs1, st, r ' + refs0, ty)]]