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Absolutely false. To call "Newton's Law of Universal Gravitation" a law is false. It's not even true, we have had a more accurate explanation for gravity since 1916: General Relativity. That too is not a final answer, since it demonstrably disagrees with quantum mechanics.
F = G m1 m2 / r^2 is an excellent approximation, that is adequate for 99% of what we do. Yes, it gives the right answers or nearly the right answers almost all the time. That's what "excellent approximation" means.
Wherever Newton got it right, General Relativity gives the right answers too. Planes fly correctly, your jumping ability is what is to be expected, common things operate correctly. But in other situations, where Newton gets the wrong answers, Einstein gets it right. (And in still other places, both are WRONG. But good approximations.)
Don't let your irritation about misunderstandings of non-scientists cause you to say false things. Find a way to give correct information, without feeding public misconceptions, but without setting yourself up for a fall.
I suggested: "This is the only consistent explanation" instead of "It's proven".
What does the group think of that? I submit that it is not giving a wrong impression, it is not feeding any misunderstandings or medieval thinking. "It's proven" is never true, and even the non-scientist will eventually realize that you were wrong to make that claim, and you will then be completely discredited.