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## Proposition: Existence of Inverse Integers With Respect to Addition

For every integer $$x\in\mathbb Z$$ there exists an inverse integer $$-x\in\mathbb Z$$ such that the sum of both integers equals the integer zero:

$x+(-x)=0.$

| | | | | created: 2015-12-12 16:22:28 | modified: 2015-12-12 16:24:53 | by: bookofproofs | references: [696]

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