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Proof step 1 from proof lim-unique (conclusion)

mon(σσ), σσ ≠ [], ∀ n. ⌜n⌝ < # σσ → σσ[n] ⊑ σ, ∀ n. ⌜n⌝ < # σσ → σσ[n] ⊑ σ0, ∀ m. ¬ # σ < ⌜m⌝ → (∃ n. ⌜n⌝ < # σσ ∧ σ to m ⊑ σσ[n]), ∀ m. ¬ # σ0 < ⌜m⌝ → (∃ n. ⌜n⌝ < # σσ ∧ σ0 to m ⊑ σσ[n]) ⊦ σ = σ0

System applied rule normalize

And obtained the following new goals

Proof step 2:
mon(σσ), ∀ m. ¬ # σ0 < ⌜m⌝ → (∃ n. ⌜n⌝ < # σσ ∧ σ0 to m ⊑ σσ[n]), ∀ m. ¬ # σ < ⌜m⌝ → (∃ n. ⌜n⌝ < # σσ ∧ σ to m ⊑ σσ[n]), ∀ n. ⌜n⌝ < # σσ → σσ[n] ⊑ σ0, ∀ n. ⌜n⌝ < # σσ → σσ[n] ⊑ σ ⊦ σ = σ0, σσ = []

Proof step 1 from proof lim-unique (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

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