Answer
A double bond is formed through dehydration and then the carbene is formed through dehydrohalogenation.
Work Step by Step
Since there is a need of double bond for carbene to form, the cyclohexanol is made to undergo elimination using sulfuric acid. This forms a double bond. Now the double bond reacts with $CHCl_3$ and dehydrohalogenation takes place, in which one hydrogen and one halogen are lost to form the product.
