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Proof step 22 from proof stutf-maxinf-is-fin (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ n∞ ≠ ∞ ↔ (∃ n. n∞ = ⌜n⌝ )
Proof step 24:
⌜n⌝ < # nσ, stutf(nσ), m ≤ nσ[n], ∀ n. ∃ n0. n < n0 ∧ ⌜n0⌝ < # nσ ∧ nσ[n0] = m ⊦ ∀ n. # nσ ≠ ⌜n⌝

Rule argument

spec: nat-inf-basic inst: name: notinf-fin seq: ⊦ n∞ ≠ ∞ ↔ (∃ n. n∞ = ⌜n⌝ ) subst: [n∞] → [# nσ] flags: rewrite

Additional information

Used terms: # nσ