invert_comp_C — Mathlib

English

The composition of LaurentPolynomial.invert with LaurentPolynomial.C equals LaurentPolynomial.C; i.e., invert ∘ C = C (in a form of equality of ring homs).

Русский

Компоновка LaurentPolynomial.invert с LaurentPolynomial.C равна LaurentPolynomial.C; т.е. invert ∘ C = C (в форме равенства кольцевых однородных отображений).

LaTeX

$$$\\mathrm{invert} \\circ \\mathrm{C} = \\mathrm{C}$.$$

Lean4

@[simp]
theorem invert_comp_C : invert ∘ (@C R _) = C := by ext; simp

Похожие утверждения