Question: I am writing a technical paper where I have described an experiment resulting in "x". Then I go on to describe the result of a second experiment whose result was expected since the reason was deduced in the previous experiment (x). I'm looking for a phrase to tie the two sentences together but I did not want to use "as expected" or "it would follow".

I know there is another phrase out there that suits better but I can't seem to come up with it right now so I need your help. Thanks.

Answer: 
"**Confirming the hypothesis**" always sounds good in a technical paper. Or "**as hypothesized**".

If you are noting agreement with previous results, you can say "**validating/confirming results from...**".
"Corollary" is the usual technical/scientific term to describe the consequent or expected sets of derivative results or conclusions of a main theory, hypothesis or experiment.

> 
> [cor·ol·lar·y](http://www.thefreedictionary.com/corollary) (kôr-lr, kr-)
>  n. pl. cor·ol·lar·ies  
> 
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> 
> 1. A proposition that follows with little or no proof required from one already proven.
> 2. A deduction or an inference.
> 3. A natural consequence or effect; a result.
> 
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> adj.
>  Consequent; resultant.
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> 
> 

For example,

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> I have thus concluded the 1st and 2nd experiments. The results of the 2nd experiment have demonstrated to be corollaries to those of the 1st.
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> 
>