# Usual hypotheses

In probability theory, given a probability space ${\displaystyle (\Omega ,{\mathcal {F}},\mathbb {P} )}$, a filtration ${\displaystyle \mathbb {F} =\{{\mathcal {F}}_{t}\}_{t\geq 0}}$ is said to satisfy the usual hypotheses if:[1]
1. ${\displaystyle {\mathcal {F}}_{0}}$ contains all ${\displaystyle \mathbb {P} }$-negligible events.
2. ${\displaystyle \mathbb {F} }$ is right-continuous.