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Proof step 18 from proof lim-exists (previous step)

# σσ = ∞, # σσ[n] = ∞, σσ[n] + σ = σσ[n0], n < n0, mon(σσ) ⊦ σσ[n0] = σσ[n], n0 = 0, σσ = []

User applied rule structural induction

And closed the goal!

Rule argument

term: σσ[n]

Additional information

Used simplifier rules: stream freely generated by ⌜ ⌝, ⌜ ⌝;;% ⊦ ⌜nf⌝ + σ = ⌜nf⌝ ; (s)%append-assoc: ⊦ (σ + σ1) + σ2 = σ + σ1 + σ2; from specification stream% ⊦ # ⌜x⌝ = ⌜# x⌝ ; (s)% ⊦ ⌜m⌝ ≠ ∞; (s)