I don't see much value in knowing that dependent types can be used to encode logical quantifiers or similar stuff in applied programming. Maybe there is actual value that it creates after you grok those concepts (beyond the general applicability of any concept or metaphor in your thinking), but I don't see it.
"Functional programming" in applied programming usually just means using less mutable state and using stuff like `map` and `reduce` to make semantics of code more predictable and move the burden of optimizing actual implicit mess it creates to compiler/interpreter.
"Functional programming" in applied programming usually just means using less mutable state and using stuff like `map` and `reduce` to make semantics of code more predictable and move the burden of optimizing actual implicit mess it creates to compiler/interpreter.