Hey, at risk of making a tired question, I could use a little help with something that I'm finding myself stuck on as an of-two-days proof assistant and Coq user. ∀x : ℕ, 3 | (x + 5x). Specifically, what's got me is showing that ∀x y z : ℕ, (z|x and z|y) -> z|(x + y). Attempt in post body.

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  • strong-induction

    Proof of strong induction in Coq

  • Also, if you want to reach for strong induction in the future, it's not too difficult to prove that the principle is valid and then use it with the induction tactic (e.g. https://github.com/tchajed/strong-induction).

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