Question on First Order Logic formula

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Published on 2010-06-09T14:37:35Z Indexed on 2010/06/09 14:52 UTC
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homework

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logic

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first-order-logic

Hi,

Can someone validate the following. I am supposed to

'write a formula asserting that for every number there's a unique next number...true for integers for instance'

L(x,y) means x is smaller than y

the intended Domain is the Integer numbers

Can I give

∀x ∀y [ x<y ⇒ ( ∃z : z<x ∨ y<z ) ]

Thanks

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