先将地球表面上任何多个图形分为1图形包围内：1国图形、奇(2n+1)线接壤、偶（2n）线接壤、奇（2n+1）互接壤、偶（2n）互接壤、奇（2n+1）包围、偶（2n）包围(n≥1整数)、1包围等单独8大基本类型。先证各单独8大基本类型，可用≤4色完成接壤隔离填色。再证明任何多单独8大基本类型的“单独奇（2n+1）互接壤、奇（2n+1）包围(n≥1整数)”的组合，可用≤4色完成接壤隔离填色。再证明任何多单独8大基本类型的任(n≥1整数)组合，可用≤4色完成接壤隔离填色。证明4色猜想成立。并给出验证。% First surface of the Earth any more of the graphics is divided into a graphical surrounded by a country graphics, odd (2n +1) line bordering even (2n) line bordering the odd (2n +1) bordering each other, even (2n) each other: bordering the odd (2n +1) surrounded by even (2n) surrounded by (n ≥ 1 integer), surrounded by a separate eight basic types. Proband alone eight basic types can be used ≤ 4 color to complete the coloring bordering the isolation. To prove any separate eight basic types of"separate odd (2n + 1) bordering each other, the odd (2n + 1) surrounded by (n ≥ 1 integer)"combination can be used ≤ 4 colors completed bordering isolation coloring. To prove any more than separate basic types of any combination of (n ≥ 1 integer), can be used ≤ 4 colors to complete the coloring bordering the isolation. The proof of four color conjecture is true. And gives validation.
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