Consider a measureable process $A:\mathbb{R}_+\times \Omega\rightarrow \mathbb{R}$ such that $t\mapsto A_t$ is a right-continuous non-decreasing process.
Then is it true that $A$ is cadlag?
Consider a measureable process $A:\mathbb{R}_+\times \Omega\rightarrow \mathbb{R}$ such that $t\mapsto A_t$ is a right-continuous non-decreasing process.
Then is it true that $A$ is cadlag?
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