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// Always applicable impls. Using two separate traits // for clarity/simplicity. trait IdA { type This; } impl<T> IdA for T { type This = T; } trait IdB { type This; } impl<T> IdB for T { type This = T; } trait Trivial { type Usize; } impl<T> Trivial for T { type Usize = usize; } // A diverging associated type whose item-bound must not apply // and differs from an always applicable impl. trait Diverges<T> { type Diverge<Recur: Diverges<T>>: Trivial<Usize = T>; } impl<T> Diverges<T> for () { type Diverge<Recur: Diverges<T>> = Recur::Diverge<()>; } // An impl with a where-clause which is normalized using the blanket impl when // checking that its item-bounds hold. We then prove that where-clause via the // incorrect item-bound from above. // // This allows us to transfer the item-bound to a concrete type while only // using the diverging associated type in a generic context. // // Concretely, this is impl is well-formed as `<T as IdA>::This` normalizes to // `<Recur as Trivial>::Usize` which is then normalized to `usize` by using // the blanket impl. This means `<T as IdA>::This: IdB<This: Copy>` trivially // holds. // // This means it should only be possible to instantiate it with `usize` itself. // Instantiating `Recur` with `<D as Diverges<T>>::Diverge<()>` causes it to apply // for all `T` instead. trait Apply<D> { type Assoc: IdB<This: Copy>; } impl<T: IdA<This = <Recur as Trivial>::Usize>, Recur> Apply<Recur> for T { type Assoc = <T as IdA>::This; } fn copy_me<T, D: Diverges<T>>(x: T) { // Need to prove the where-bounds of `provide_where_bound` in a generic context // as normalizing `D::Diverge<()>` would otherwise overflow. // // Using the impl of `Apply` requires `T: IdA<This = <D::Diverge<()> as Trivial>::Usize>`. // We normalize `<D::Diverge<()> as Trivial>::Usize` to `T` using the item-bound of // `D::Diverge<()>` at which point the impl trivially applies. provide_where_bound::<D, T>(x) } fn provide_where_bound<D: Diverges<T>, T>(x: T) where T: IdA<This = <T as Apply<D::Diverge<()>>>::Assoc>, T: Apply<D::Diverge<()>>, { // Inside of this function `<T as Apply<D::Diverge<()>>>::Assoc` is rigid, // allowing us to use its incorrect item-bound. // // <<T as IdA>::This as IdB>::This: Copy // ------------------------------------- normalize `<T as IdA>::This` via where-bound // <<T as Apply<D::Diverge<()>>>::Assoc as IdB>::This: Copy // -------------------------------------------------------- prove via item-bound apply_where_bound::<T>(x) } fn apply_where_bound<T>(x: T) where <<T as IdA>::This as IdB>::This: Copy, { // We simply normalize `<<T as IdA>::This as IdB>::This` to `T` inside of this // function. dup(x, x) } fn dup<T>(_x: T, _y: T) {} pub fn main() { copy_me::<String, ()>(String::from("hello there")); }
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