Will 2.35" tyres fit my Alex rims?

Hi
I have a set of Alex DM18 rims, ( ERD 545.1mm, ETRTO 559X18mm ) - currently I'm running a pair of 2.1 maxxis high rollers on them. To inspire me with more confidence ( I know it's a placebo ) I was thinking of replacing these with the 2.35 version.
I have enough clearance, and I'm aware that I'll need to get a set of inner tubes to fit this size tyre; my question is will 2.35" tyres fit my rims? I'm assuming they will, but before I spend ~£60 I'd just like to make sure the tyres would stay on the rims!
Best regards
Sam
I have a set of Alex DM18 rims, ( ERD 545.1mm, ETRTO 559X18mm ) - currently I'm running a pair of 2.1 maxxis high rollers on them. To inspire me with more confidence ( I know it's a placebo ) I was thinking of replacing these with the 2.35 version.
I have enough clearance, and I'm aware that I'll need to get a set of inner tubes to fit this size tyre; my question is will 2.35" tyres fit my rims? I'm assuming they will, but before I spend ~£60 I'd just like to make sure the tyres would stay on the rims!
Best regards
Sam
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Austria 2012