Intersection of Congruence Classes/Examples/Intersection of 1 mod 3 with -1 mod 4

Examples of Use of Intersection of Congruence Classes

 * $\eqclass 1 3 \cap \eqclass {-1} 4 = \eqclass 7 {12}$

Proof
From Intersection of Congruence Classes:
 * $\eqclass 1 3 \cap \eqclass {-1} 4 = \eqclass x {12}$

for some $x$ which is to be found.

We have that:

and that:

Hence the result by taking the intersection.