SOLUTION: prove that i=0 does not implies 1=0.

Question 1092746: prove that i=0 does not implies 1=0.

Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

Let us assume that i=0 implies 1=0.


But 1=/=0.  


Contradiction.


Hence,  the assumption is wrong and  i=0 does not implies 1=0.


The proof is completed.

RELATED QUESTIONS
Example 3.4. If a ∈ R, prove that (i) 0 < a < 1 implies 0 < a^2 < a (answered by Solver92311)

Prove: if 4 divides mn, then m is even or n is even. i saw that this was p implies q... (answered by richard1234)

prove n=1 when n does not = 0 and 0/n=0 when n does not =... (answered by ikleyn)

prove that... (answered by ikleyn)

Prove that (1/∞) =... (answered by HEY654321)

solve the exponential equation by using the property that bx = by implies x = y, for b> 0 (answered by ikleyn)

olve the exponential equation by using the property that bx = by implies x = y, for b> 0... (answered by Alan3354)

Prove that C(n,0) =... (answered by Edwin McCravy)

Prove the statement using the ε, δ definition of a limit. lim x^2=0... (answered by robertb)