the binary operations of subtraction and division can be taken as basic.

Properties

Anti-commutativity

Subtraction is anti-commutative, meaning that if one reverses the terms in a difference left-to-right, the result is the negative of the original result. Symbolically, if a and b are any two numbers, then
:a - b = -(b - a).

Non-associativity

Subtraction is non-associative,

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