The smallest singular value is $1$-Lipschitz for the Frobenius norm: $|\sigma_{\min}(A)-\sigma_{\min}(B)|\le\|A-B\|_F$

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The smallest singular value is $1$-Lipschitz for the Frobenius norm: $|\sigma_{\min}(A)-\sigma_{\min}(B)|\le\|A-B\|_F$ · Prove2Me