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## Homework Statement

Hello,

I'm little bit confused about a particular inequality in a proof:

| (D_j f_i) (y) - (D_j f_i) (x) | ≤ | [(f'(y) - f'(x)]e_j | ≤ ||f'(y) - f'(x)||

The last part of the inequality confuses me. Is the absolute value (norm on R) less than any other norm on R^n?