How do I remove schemes from my crafting library? I have several I've already used and no longer need to keep.

Unfortunately there is no way to remove or rearange schemes in the library.

Oh there's just straight up no way of removal? Well I tried to use them only then they are no longer in my inventory but are on crafts? They no longer are considered in inventory once I used them but cannot build or make anything out of them because of insufficient stuff you know pets, material, money or whatever. They are still accescible so why aren't they still considered in inventory if I do not have all requirements? Just curious that's all.

Once they're in your craft library, they stay there. Even if you don't have the materials to craft them, they stay in storage. I've still got recipes and schemes from last year's kami events lying around in my library. They don't go away.

The nice thing about it is that this doesn't affect your inventory at all. Once you've used a blueprint it's used, it won't return  to your inventory, which frees up space.