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Proof step 5 from proof valid-indices-indiceswhere-h (conclusion)

⊦ n ≤ # ar → valid-indices(ar, ar.indicesWhere(φ, n))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ valid-indices(ar, nx) ↔ (∀ n. n ∈ nx → n < # ar)

Rule argument

spec: inst: name: valid-indices-nonrec seq: ⊦ valid-indices(ar, nx) ↔ (∀ n. n ∈ nx → n < # ar) subst: [nx, ar] → [ar.indicesWhere(φ, n), ar] flags: rewrite, current

Additional information

[Concretesimprules(()), Extraterms((ar.indicesWhere(φ, n)ar))]