Let $$A$$ and $$B$$ be two non-null events such that $$A \subset B$$. Then, which of the following statements is always correct?

A

$$P\left(A|B\right)\ge P(A)$$

B

$$P\left(A|B\right)=P\left(B\right)-P\left(A\right)$$

C

$$P\left(A|B\right)\le P(A)$$

D

$$P\left(A|B\right)=1$$