ACIT4330-Page/content/Definitions/Least Upper Bound Property.md

X \subset \mathbb{R} \exists c \in \mathbb{R} \; \text{such that} x \lt c, \forall x \in X sup(\langle 0, 1 \rangle) = 1 \notin \langle 0, 1 \rangle sup(\langle 0, 1 ] \,) sup(\mathbb{R}) = \infty