How can you be so sure?
The Mexican American war was a terrible thing. I sympathize with the Mexicans and cherish Saint Patrick's brigade like they were Saints and Martyrs a long with the rest of the Mexicans that fought in that war.
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However, I guarantee you that it lead to less suffering in the end. Guaranteed, California and those other areas that were conquered in the Mexican War have far more opportunity, less poverty, better education, and better healthcare than were they left under control of Mexico's government.