How to Represent an If Statement with Boolean Algebra Primitives

I saw this: Generic method for implementing if-else statement in hardware (using gates,mux-demux,flip flops ) etc. However it’s a bit over my head atm.

I am wondering, instead of an if/else statement, just an if statement in Boolean algebra, and an explanation of how it works.

I am not looking for a→b ,

which is typically the if statement. I am looking for how to construct the if-statement from primitives.

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