Given 4 axioms in real Nos:(adsbygoogle = window.adsbygoogle || []).push({});

1) 1x = x ,for all x

2) x+0 = x ,for all x

3) (x+y)z = xz+yz ,for all x,y,z

4) xy =yx ,for all x,y

The cancellation theorem : [tex]\forall[x+y = x+z\Longrightarrow y=z][/tex]

And two laws of logic:

1) The law of Universal Elimination

2) The law of substitution.

Can we create a theorem?.

If yes ,what that theorem may be??

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# Creating a theorem

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