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Proof step 34 from proof stutf-maxinf-is-fin (previous step)

⌜n⌝ < # nσ, stutf(nσ), # nσ = ∞ ∧ (∀ n1. ¬ n1 < n2 → nσ[n1] = nσ[n]) ∨ (∀ n0. ⌜n0⌝ < # nσ → nσ[n0] < nσ[n]) ⊦ ∃ n1. n0 < n1 ∧ ⌜n1⌝ < # nσ ∧ nσ[n1] = nσ[n]

User applied rule case distinction

And obtained the following new goals

Proof step 35:
# nσ = ∞ ∧ (∀ n1. ¬ n1 < n2 → nσ[n1] = nσ[n]), ⌜n⌝ < # nσ, stutf(nσ) ⊦ ∃ n1. n0 < n1 ∧ ⌜n1⌝ < # nσ ∧ nσ[n1] = nσ[n]
Proof step 43:
∀ n0. ⌜n0⌝ < # nσ → nσ[n0] < nσ[n], ⌜n⌝ < # nσ, stutf(nσ) ⊦ ∃ n1. n0 < n1 ∧ ⌜n1⌝ < # nσ ∧ nσ[n1] = nσ[n]

Rule argument

pos: left 3

Proof step 34 from proof stutf-maxinf-is-fin (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information