Modulo Subtraction is Well-Defined/Examples

Examples of Use of Modulo Subtraction is Well-Defined

Modulo Subtraction: $19 - 6 \equiv 11 - 2 \pmod 4$

We have:

\(\ds 19\)

\(\equiv\)

\(\ds 11\)

\(\ds \pmod 4\)

\(\ds 6\)

\(\equiv\)

\(\ds 2\)

\(\ds \pmod 4\)

\(\ds \leadsto \ \ \)

\(\ds 19 - 6 = 13\)

\(\equiv\)

\(\ds 11 - 2 = 9\)

\(\ds \pmod 4\)