instInvOneClass — Mathlib

English

There is an inverse-one class structure on matrices: the unit 1 and the inverse inv(A) define a left/right inverse relationship.

Русский

Система InvOneClass на матрицах: единица и обратная дают равенство левой и правой инверсии.

LaTeX

$$Instance: InvOneClass (Matrix n n α) with inv_one = inv_eq_left_inv (by simp).$$

Lean4

noncomputable instance : InvOneClass (Matrix n n α) :=
  { Matrix.one, Matrix.inv with inv_one := inv_eq_left_inv (by simp) }

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