Eating more trans fats might slowly increase your risk of dying from any cause — the more you eat, the higher the risk — but just comparing high vs low eaters doesn’t show a clear link.

People who eat more trans fats—especially from processed foods—are more likely to die from any cause, including heart disease and cancer.

People who eat a higher share of saturated fats compared to all the fat they consume are more likely to die from any cause, even if they’re not eating more fat overall — and this holds true after accounting for things like age, lifestyle, and health markers.

People in the U.S. who eat more of the healthy fats (like those in fish and nuts) compared to their total fat intake tend to live longer, even if they eat the same amount of fat overall — and this holds true no matter their age, gender, income, or health habits.

People in countries where folks eat more of a certain unhealthy fat called elaidic acid tend to have more heart disease deaths over 25 years — it’s strongly linked, though we don’t know if it’s the direct cause.

Eating saturated, trans, or monounsaturated fats doesn’t seem to affect your chances of dying from cancer, based on a long-term study of over 100,000 American adults.