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Proof step 5 from proof lele-refl (previous step)

⊦ ⌜m⌝ = n∞1, n∞1 < ⌜m⌝ , ⌜m⌝ < n∞1

User applied rule structural induction

And closed the goal!

Rule argument

indvar: n∞1

Additional information

Used simplifier rules: gen: ⊦ ;%disj: ⊦ ⌜m⌝ ≠ ∞;%less-inf1: ⊦ ¬ ∞ < n∞;%less-inf2: ⊦ ⌜m⌝ < ∞;%inj: ⊦ ⌜m⌝ = ⌜m0⌝ ↔ m = m0;%less-fin: ⊦ ⌜m⌝ < ⌜n⌝ ↔ m < n;% ⊦ m ≠ n → (m < n ↔ ¬ n < m); (ss)% ⊦ m < n → ¬ n < m; (s)