Is there a "glibrust" or equivalent standard library for Rust, yet?
There is the library 'nix-rust' [2], which aims to provide a wrapper of 'libc' in idomatic Rust.
Unlike 'libc', 'nix-rust' does not have a consistent code quality and organization yet. However, Both are missing various bindings for various platforms.
[1] https://github.com/rust-lang/libc [2] https://github.com/nix-rust/nix
libcore (the baremetal library) and the language don't need libc at all.