It is TRUE that the conflict between Texan and Mexican troops in Anahuac was triggered by the unwarranted arrest and imprisonment of William B. Travis and Patrick C. Jack, two prominent fighters against the "Siete Leyes" issued by the government.
The changes based on "Siete Leyes" placed all governmental powers in the hands of the Mexican national government led by Santa Anna.
These government changes angered the Mexicans and Americans in Texas, leading to the Texan Revolution and the brief existence of the Texas Republic between 1836 and 1845.
Thus, the arrest of the duo triggered the Texas-Mexico conflict.
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The War of 1812 was caused by the tensions between France and Great Britain due to the French Revolutionary Wars. The consequence was that both France and Great Britain intended to restrict commercial maritime rights from the U.S. with each country. In general, U.S. did not consider this to be fair, as they intended to continue trading with France as they did before any conflict.
The supporters of the war were divided among the Americans geographically. People from New England were against it, while South and West supported it, thinking it would give good reputations for the U.S. abroad.
The war did not threaten US independence, but commercially, the war disfavored them. Native Americans were the ones to considered this a not justified war.