Trait Applicative 

pub trait Applicative:
    Functor
    + Pointed
    + Semiapplicative
    + ApplyFirst
    + ApplySecond { }

A type class for applicative functors.

Applicative extends Functor with the ability to lift values into a context (pure) and to apply functions within a context to values within a context (apply). It also provides additional operations for combining contexts (apply_first, apply_second).

Applicative functors are more powerful than functors but less powerful than monads. They allow for sequencing computations but with less flexibility than monads since the structure of the computation must be known in advance.

Laws

Applicative instances must satisfy the following laws:

• Identity: apply(pure(identity))(v) = v.
• Composition: apply(apply(apply(pure(compose))(u))(v))(w) = apply(u)(apply(v)(w)).
• Homomorphism: apply(pure(f))(pure(x)) = pure(f(x)).
• Interchange: apply(u)(pure(y)) = apply(pure(f => f(y)))(u).

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors

impl<Brand> Applicative for Brand

where Brand: Functor + Pointed + Semiapplicative + ApplyFirst + ApplySecond,

Blanket implementation for the Applicative type class.

Any type that implements all the required supertraits automatically implements Applicative.