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3
questions
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vote
2
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Proof that $\frac{1}{2} + \frac{1}{2} = 1$ using just the algebraic properties of $\mathbb R$
Like the title says, can you prove rigorously that $\frac{1}{2} + \frac{1}{2} = 1$ using only the nine field properties of $\mathbb R$? I don't know if addition and multiplication are supposed to be ...
- 817
7
votes
4
answers
11k
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prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$
I was trying to prove if $l=m$ and $m=n$ then $l=n$ but when doing this I had to add $-m$ to both sides of both equations.i think it is not appropriate to proceed without proving "if $a=b$ then $a+c=b+...
- 657
0
votes
1
answer
73
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How to prove this theorem using field axioms of real numbers?
I need to prove that $0*a=a*0=0$
I'm guessing I have to use the existence of inverse axiom.
But I'm not sure how the proof goes.
Thanks a lot in advance!
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