Metamath Proof Explorer


Theorem absdvdsabsb

Description: Divisibility is invariant under taking the absolute value on both sides. (Contributed by SN, 15-Sep-2024)

Ref Expression
Assertion absdvdsabsb M N M N M N

Proof

Step Hyp Ref Expression
1 absdvdsb M N M N M N
2 zabscl M M
3 dvdsabsb M N M N M N
4 2 3 sylan M N M N M N
5 1 4 bitrd M N M N M N