The fundamental theorem of calculus: $\frac{\mathrm d}{\mathrm{d}x} \int_a^x f(t)\:\mathrm{d}t = f(x)$ and nothing more

Question

My textbook writes, just as wikipedia, but I'd like to write it shorter.

Can the fundamental theorem of calculus be written as $$\frac{\mathrm d}{\mathrm{d}x} \int_a^x f(t)\: \mathrm{d}t = f(x)$$