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use std::fmt;

use free_var::FreeVar;

#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub struct Binder<N>(pub FreeVar<N>);

impl<N: fmt::Display> fmt::Display for Binder<N> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        write!(f, "{}", self.0)
    }
}

impl<N> PartialEq<FreeVar<N>> for Binder<N>
where
    N: PartialEq,
{
    fn eq(&self, other: &FreeVar<N>) -> bool {
        self.0 == *other
    }
}

impl<N> PartialEq<Binder<N>> for FreeVar<N>
where
    N: PartialEq,
{
    fn eq(&self, other: &Binder<N>) -> bool {
        *self == other.0
    }
}