Question about unfamiliar notation regarding P-lim

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I'm attending a finance course which takes knowledge about probability theory as a given (and I'm pretty unfamiliar with probablity theory but until now everything is somewhat understandable for me) and I am unfamiliar with some notation.

The notation I do not comprehend reads as following:

$\mathbb{P} $-$ \space lim_{n \to \infty} \sup_{t \in [0,T]} | (X - C)_t | = 0 $ where the limit is taken in probability.

The part most difficult to me is ''$\mathbb{P} $- lim'', I have never seen this expression before, what exactly does it mean?