Because Doppler shift, again, can be proved by listening to a passing train.
Ok Pete, here's the deal. Listening to a passing train does not tell Tom Bishop or me how that can tell us if a star or galaxy is moving away from us. A star is not a passing train and as far as I'm aware does not make any noise that we would be able to hear.
Now you presumably know what you are talking about but just because you undersatnd what you are saying doesn't mean everyone will understand what you are saying. You are obviously not a teacher. That's fine, but you may want to try and explain in simple terms how the light bit of doppler shift works as opposed to banging on about trains. Just banging on about doppler shift ain't telling anyone anything.
Now you posted this earlier:

THAT is blueshift (and redshift). The lines are in different places. In the blue star they are not, compared to the yellow one. Got that?
No I didn't get that. So the lines are in different places. And?
Why not explain in simple words what we are looking at? Now I can see the lines are in different places but what causes the lines to be in different places and how do we decipher what is meant by the lines being in different places? What are the lines? How do we get the pretty picture?
Is it all something to do with the speed of red light being different to the speed of blue light?
Also why not try and explain that the visual colour of a star does not mean the same as it's spectral colour (is that right?) A star can be a different colour like Sirius and our sun are different visual colours but have similar spectrums, right?
Please do not assume knowledge. You can perhaps assume interest but not knowledge. When I was at school Plate Tectonics had not even been thought of and calculators hadn't been invented. Now I may have done some physics later in life but I haven't got the books any more and things like wiki are written by people like you - you know what you mean so everyone must know what you mean. It ain't so mate, so just start considering the reader.
Thanks