Use Boolean$-$algebraic manipulation to prove the following Boolean statements. Note a$)$ and b$)$ are two forms of the absorption law. a$)$ Absorption law: $+=$ b$)$ Absorption law $($dual$)$: $(+)=$ c$)$ Redundant Coverage Rule: $+=+$ d$)$ Redundant Coverage Rule $($dual$)$: $(+)=$ e$)$ Combining law:$+=$ f$)$ Combining law $($dual$)$: $(+)(+)=$ g$)(1,2)=(1,2)=(0,3)($Note these are two$-$input functions$)$ h$)+=$ i$)12+12+12=1+2$ j$)12+12+12=1+$