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5.4: The Strong Form of Mathematical Induction
https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Gentle_Introduction_to_the_Art_of_Mathematics_(Fields)/05%3A_Proof_Techniques_II_-_Induction/5.04%3A_The_Strong_Form_of_Mathematical_Induction
The strong form of mathematical induction (a.k.a. the principle of complete induction, PCI; also a.k.a. course-of-values induction) is so-called because the hypotheses one uses are stronger.

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