Suppose that M and N are natural numbers, such that N>M-1.(adsbygoogle = window.adsbygoogle || []).push({});

Prove that N≥M

The problem above is a rather minor lemma that I obtained while proving the ratio test from calculus. I was able to successfully prove the ratio test itself, but I took this lemma for granted, which I am now trying to prove.

I expected that since this lemma was rather simple, it would be easy enough to prove, but I can't seem to catch it.

Any ideas on how this might be done?

BiP

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A lemma in the integers from calculus

Loading...

Similar Threads for lemma integers calculus | Date |
---|---|

I Linear mapping of a binary vector based on its decimal value | Mar 23, 2018 |

A Last Gauss Lemma Section II | Feb 4, 2018 |

I Proving a lemma on decomposition of V to T-cyclic subspace | Mar 16, 2017 |

I Multiplication Maps on Algebras ... Bresar, Lemma 1.25 ... | Dec 5, 2016 |

I Bresar, Lemma 1.3 - Real Quaternions ... Division Algebras | Nov 20, 2016 |

**Physics Forums - The Fusion of Science and Community**