modrewrite question dealing with seo

I am switching an entire site from http://  to https://. I want to know if I use the below code in my htacces file will google see my pages as the same pages.  Will all the pages have to re-rank?

RewriteEngine On
RewriteCond %{SERVER_PORT} 80
RewriteRule ^(.*)$ https://www.thecowboyshoponline.com/$1 [R=301,L]
#

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LueyAsked:
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GaryCommented:
301 tells Google et al the page has been moved so there is no effect on SEO (or at least discernible impact)

http://moz.com/learn/seo/redirection
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LueyAuthor Commented:
Cool, thanks Gary
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