Is this robots.txt going to accomplish what I want?

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Here's what I want:

1) Googlebot can access all pages of my site except /cart/ and /images/

2) No other bots are allowed to access anything.

Here's the file, is it saying what I am intending to say?

User-Agent: Googlebot
Allow: /
Disallow: /cart/
Disallow: /images/

User-Agent: *
Disallow: /

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