Is $\lambda_{\min}(A) \geq \lambda_{\min}(B)$ when $A > B$ where $A$ and $B$ are positive semidefinite matrices?

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Is $\lambda_{\min}(A) \geq \lambda_{\min}(B)$ when $A > B$ where $A$ and $B$ are positive semidefinite matrices? Here $A > B$ means $A-B$ is positive definite matrix.