Corollary
In mathematical reasoning, a statement that results immediately from a proposition that has already been demonstrated as a clear consequence.
A corollary is a simple proposition that results from the proposition demonstrated by reasoning.
Example
Here is a proposition:The measure in degrees of an inscribed angle is equal to half of the measure in degrees of the arc intercepted on the circle by its sides.
If m[latex]\stackrel{\frown}{\textrm{AB}}[/latex] = 84,
then m[latex]∠{\textrm{ABC}}[/latex] = 42.
A corollary resulting from this proposition would be:Every inscribed angle in a half-circle is a right angle.
m[latex]∠{\textrm{ABC}}[/latex] = 90.
