Looking on the internet deeply has found these results:

cold-resistant is the most popular phrase on the web.

cold-proof 1265,000 results on the web	cold-resistant 1393,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
She needs cold hard proof that Camille isn't a baddie.	Considering Mars' distance from the Sun... shouldn't they have a shape that is more resistant to cold? If the protective structure is claimed to have properties resistant to cold weather embrittlement, the manufacturer shall give details that shall be included in the report. If the protective structure is claimed to have properties resistant to cold weather embrittlement, the manufacturer shall give details that shall be included in the report.

cold-proof

1265,000 results on the web

cold-resistant

1393,000 results on the web

More popular!

Considering Mars' distance from the Sun... shouldn't they have a shape that is more resistant to cold?
If the protective structure is claimed to have properties resistant to cold weather embrittlement, the manufacturer shall give details that shall be included in the report.
If the protective structure is claimed to have properties resistant to cold weather embrittlement, the manufacturer shall give details that shall be included in the report.