Smoking declined from 20% of the US population to 15% from 2005 to 2015 so the efforts are making an impact.
There's a bunch of studies on scholar.google about the effects of anti-smoking regulation for the interested.
Because the long term decline predates many of the policies, I assume no causality violations.
> Where is proof for that assumption?
You're asking me to prove a negative.
Take a look at the charts here (https://www.tobaccoinaustralia.org.au/chapter-1-prevalence/1...), in the time periods covered they've banned smoking in nightclubs, shopping centers, parks, beaches, cafes, the cost of cigarettes has gone up astronomically (creating a huge black market BTW), the legal age went up, advertising was banned, plain packaging was introduced etc. During all those initiatives the decline remains pretty constant, if they were having an effect then I'd expect the decline to plateau before their introduction.