Coating film, tool, and machine tool

A coating film, comprising a lamination unit including a first layer and at least one of a second layer and a third layer, wherein

• the first layer contains a nitride, a carbide, a carbonitride, or an oxide of a first material of which elemental composition is represented by (Cr1-a-b-cAla[Ni1-dZrd]bXc),
• as features of the first layer,
• the [Ni1-dZrd] is a ZrNi compound,
• the X is at least one element selected from Ti, Nb, Si, B, W, and V,
• the a, b, and c respectively represent atomic concentrations of Al, [NiZr], and X in the (Cr1-a-b-cAla[Ni1-dZrd]bXc), and satisfy 0.5≤a≤0.8, 0.01≤b≤0.35, and 0<c≤0.2,
• the d represents an atomic concentration of Zr in the [Ni1-dZrd], and satisfies 0.2≤d≤0.5,
• the second layer contains a nitride, a carbide, a carbonitride, or an oxide of a second material of which elemental composition is represented by (AleCr1-e-fZf),
• the Z is at least one element selected from Si, Y, and B,
• the e and f represent atom concentrations of Al and Z in the (AleCr1-e-fZf), respectively, and satisfy 0.5≤e≤0.8, 0.03≤f≤0.3, e+f≤0.9,
• the third layer contains a nitride, a carbide, a carbonitride, or an oxide of a third material of which elemental composition is represented by (AlgCr1-g), and
• the g represents an atomic concentration of Al in the (AlgCr1-g), and satisfies 0.5≤g≤0.8.