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Proof step 91 from proof leninv-succ (previous step)

stutf(nσ) ⊦ # nσ = ∞, (∃ m. ⌜m⌝ < # nσ ∧ nσ[m] = n) ∧ (∀ m. (∃ m0. ⌜m0⌝ < # nσ ∧ nσ[m0] = m - 1) → ¬ n + 1 < m) ↔ nσ[(# nσ).n - 1] = n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 92:
⊦ n∞ = ∞ ↔ ¬(∃ n. n∞ = ⌜n⌝ )
Proof step 93:
stutf(nσ) ⊦ (∃ m. ⌜m⌝ < # nσ ∧ nσ[m] = n) ∧ (∀ m. (∃ m0. ⌜m0⌝ < # nσ ∧ nσ[m0] = m - 1) → ¬ n + 1 < m) ↔ nσ[(# nσ).n - 1] = n, ∀ n. # nσ ≠ ⌜n⌝

Rule argument

spec: nat-inf name: notinf-fin seq: ⊦ n∞ = ∞ ↔ ¬(∃ n. n∞ = ⌜n⌝ ) subst: [n∞] → [# nσ] flags: <all paths>

Additional information

Used terms: # nσ