Why do I get "conflicting implementations of trait" for f32 which does not implement Ord?

I want a min() method for f32, u32 and i32, so I created a trait Min:

trait Min {
    fn min(v1: Self, v2: Self) -> Self;
}

impl<T> Min for T where T: Ord {
    fn min(v1: Self, v2: Self) -> Self {
        ::std::cmp::min(v1, v2)
    }
}

impl Min for f32 {
    fn min(v1: Self, v2: Self) -> Self {
        v1.min(v2)
    }
}

I get an error:

error[E0119]: conflicting implementations of trait `Min` for type `f32`:
  --> src/main.rs:11:1
   |
5  | / impl<T> Min for T where T: Ord {
6  | |     fn min(v1: Self, v2: Self) -> Self {
7  | |         ::std::cmp::min(v1, v2)
8  | |     }
9  | | }
   | |_- first implementation here
10 | 
11 | / impl Min for f32 {
12 | |     fn min(v1: Self, v2: Self) -> Self {
13 | |         v1.min(v2)
14 | |     }
15 | | }
   | |_^ conflicting implementation for `f32`

According to the Rust standard library documentation, f32 does not implement Ord. Why there are conflicting implementations?