An implication is a suggestion or hint that something might be true. You can imply things without directly saying them.
When we imply something, we're giving people clues about what might be the case, but we don't come right out and say it. For example, if someone says "I'm not happy with my job," but doesn't want to quit, they might start talking about how much they love their weekends or how great their vacation is going to be. They're implying that they hate their job, but aren't saying it directly. This kind of language can be useful in conversations because it lets people pick up on what's being said without feeling like they're being hit over the head with an uncomfortable truth.
(of a proposition) to have as a necessary consequence
Example: The proposition that "all dogs are mammals" implies that my dog is a mammal
Implication
