rev_add — Mathlib

English

For n with NeZero n, Fin(n) has AddMonoidWithOne structure with natCast from Nat (duplicate).

Русский

Для n, не равного нулю, Fin(n) имеет структуру AddMonoidWithOne (дубликат).

LaTeX

$$$\\forall n\\, \\operatorname{AddMonoidWithOne}(\\mathrm{Fin}(n))\\, (\\text{duplicate})$$$

Lean4

theorem rev_add (a b : Fin n) : rev (a + b) = rev a - b :=
  by
  cases n
  · exact a.elim0
  rw [← last_sub, ← last_sub, sub_add_eq_sub_sub]

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