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## Definition: Subtraction of Integers

The subtraction of integers, written $$x-y$$, is defined as the addition of the first integer $$x$$ with the inverse of the second integer with respect to addition $$(-y)$$, formally
$x-y=[a,b]-[c,d]:=[a,b]+[d,c]=[a+d,b+c]=x+(-y).$

| | | | | created: 2016-01-02 09:26:03 | modified: 2019-04-17 05:38:48 | by: bookofproofs | references: [696]

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