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Proof step 15 from proof split-prefix-append-to (previous step)

# σ0 = ∞, (σ0 to n) + σ1 = σ0 ⊦ σ1 = σ0 from n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ σ = σ2 ↔ # σ = # σ2 ∧ (∀ n. ⌜n⌝ < # σ → σ[n] = σ2[n])

Rule argument

spec: stream inst: buffer-inf name: extensionality seq: ⊦ σ = σ2 ↔ # σ = # σ2 ∧ (∀ n. ⌜n⌝ < # σ → σ[n] = σ2[n]) subst: [σ2, σ] → [σ0 from n, σ1] flags: rewrite

Additional information

[Concretesimprules(()), Extraterms((σ0 from nσ1))]