Hegel basically says thesis-antithesis-synthesis, and this works because there are opposition of ideas or there are contradictions
Derrida also uses concepts like "binary oppositions" he considers "writing" and "speech" or "man" or "woman" to be opposites but is that true? Is man the opposite of woman?! that doesn't makes much sense, i would say man is different from woman and that's a fact of the world but man is opposite of a woman is not a "fact" of the world
Consider -1 and 1 as well, at first glance it seems they are mortal enemies or opposites but seeing it like below: ...,-5,-4,-3,-2,-1,0,1,2,3,4,5,... you can see it's not opposition it's just a different number
We can say the same thing about law of non contradiction and "true" or "flase"
don't get me wrong, I'm a fan of this law.
I agree that a proposition is either true or false, two choice, but this can still be interpreted that there are only two "different" options and not opposition in a Hegelian sense
long story short, opposition seems like an a priori knowledge we use to understand the world but it's not something that exist in the world