A logical symbol indicating "because" or "since" when stating reasons and justifications in mathematical proofs.
Examples
Basic logical reasoning
x = 5 \because x^2 = 25 \text{ and } x > 0
Geometric proof statement
\triangle ABC \cong \triangle DEF \because \text{SAS congruence}
Set theory explanation
|A \cup B| = 12 \because |A| = 7, |B| = 8, \text{ and } |A \cap B| = 3