Hey guys! It's just a little question about the score of Beethoven's Op. 13.
I was analyzing the first edition and I found an occurrence which made me kinda curious. In the 4th bar of the 1st movement, there's two E marked natural, on the 2nd beat. What caught my attention was that there are two other E, with no accidental mark, afterwards, on the 4th beat, which are played flat (by, like, everyone?), even though they should be played natural because of the natural sign on the two E's before it... shouldn't they?
In my Henle urtext edition, only the first of those two "problematic" E's is marked flatted, although. If a certain key is played natural, sharp or flat in a bar and, in the same bar, it does appear again, shouldn't it be played like the previous one?
I know it's a naive and silly question, I'm just asking for a matter of curiosity rather than anything else. Of course everyone plays those second E's as E flat, so do I, and surely that's how it's supposed to be played, but... well, you've got it.

It's just for curiosity.
Sorry for my English, and thanks in advance!