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Proof step 9 from proof validrefs-delcycle-01 (previous step)

validrefs(str, (r ' + refs0) + r ' + refs1, ty, st) ⊦ validrefs(str, r ' + refs1, ty, st)

User applied rule insert rewrite 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) ⊦ validrefs(str, r ' + refs1, ty, st)

Rule argument

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

Additional information

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