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Proof step 7 from proof stutf-maxinf-is-fin (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 8:
stutf(nσ), ∀ n. ∃ n0. n < n0 ∧ ⌜n0⌝ < # nσ ∧ nσ[n0] = m ⊦ ∀ n. ⌜n⌝ < # nσ → nσ[n] < m, # nσ = ∞ ∧ (∃ n. ∀ n0. ¬ n0 < n → nσ[n0] = m)
Proof step 27:
stutf(nσ), ∀ n. ¬ ⌜n⌝ < # nσ ∨ nσ[n] ≠ m ⊦ ∀ n. ⌜n⌝ < # nσ → nσ[n] < m, # nσ = ∞ ∧ (∃ n. ∀ n0. ¬ n0 < n → nσ[n0] = m)

Rule argument

pos: left 2

Proof step 7 from proof stutf-maxinf-is-fin (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information