ThmDex – An index of mathematical definitions, results, and conjectures.

Result R4333 on D41: Indicator function
Subresult of R1193: Finite product of indicator functions equals indicator of intersection

Binary product of indicator functions equals indicator of intersection

Formulation 0

Let $X$ be a D11: Set such that

(i)	$A, B \subseteq X$ are each a D78: Subset of $X$

Then \begin{equation} I_A I_B = I_{A \cap B} \end{equation}

Proofs

Proof 0

Let $X$ be a D11: Set such that

(i)	$A, B \subseteq X$ are each a D78: Subset of $X$