Definition:Distributive Operation/Left

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Let $S$ be a set on which is defined two binary operations, defined on all the elements of $S \times S$, denoted here as $\circ$ and $*$.

The operation $\circ$ is left distributive over the operation $*$ if and only if:

$\forall a, b, c \in S: a \circ \paren {b * c} = \paren {a \circ b} * \paren {a \circ c}$

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