> Capitalism does not necessarily bring Democracy.

But Democracy does solve a number of issues capitalism has. Free-markets allocate tangible and (pardon the cliché term) fungible goods quite well.

Non-tangible (e.g. intellectual property) and non-fungible (e.g. environment) goods are not managed well in a purely capitalist system. Some sort of a majority vote and public goods solution work much better and in fact create the necessary infrastructure (safe streets, reliable electricity, clean water) for capitalism to function.

So Capitalism ≠> Democracy, but Democracy => Capitalism is more true than not.