1. **Problem Statement:** Given points W, X, Y, Z and lines WX, WY, WZ, XY, XZ, YZ, prove the theorem: "If W is a point, there exists at least one line not containing W." 2. **Understanding the theorem:** The theorem states that among all lines formed by these points, there is at least one line that does not pass through point W. 3. **Step 1:** Consider the line $p$ that contains points X and Y. By definition, line $p$ passes through X and Y. 4. **Step 2:** Since W is a distinct point from X and Y, and line $p$ contains only X and Y, line $p$ does not contain W. 5. **Step 3:** Therefore, line $p$ is a line that does not contain W, proving the theorem. **Summary:** We identified line $p$ through points X and Y, which does not include W, thus confirming the existence of at least one line not containing W.