What is the relationship between Brønsted-Lowry acids and Lewis acids?

Answer

Every Brønsted-Lowry acid is also a Lewis acid.

Every Brønsted-Lowry acid must donate a proton, meaning it is ready to accept electrons (the proton's pair), thus satisfying the definition of a Lewis acid. However, the reverse is not true, as species like $\text{BF}_3$ are Lewis acids but not Brønsted-Lowry acids.

What is the relationship between Brønsted-Lowry acids and Lewis acids?

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