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Proof step 8 from proof precedes-trans (previous step)

precedes(n, n0, x), precedes(n0, n1, x) ⊦ precedes(n, n1, x)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name:precedes-def seq: ⊦ precedes(n, m, x) ↔ n < m ∧ m < # x ∧ x[n] < x[m] subst:[x, m, n] → [x, n0, n] flags:rewrite, current

Additional information

[Concretesimprules(()), Extraterms((xn0n))]