Succ

type_proof::peano

Struct Succ 

Source 
pub struct Succ<N>
where
    N: Nat,
{ /* private fields */ }
Expand description

The successor of N, i.e. N + 1.

Trait Implementations§

Source§

impl<N> Nat for Succ<N>
where N: Nat,

Source§

const VALUE: usize

The natural number as a usize.
Source§

type Add<M: Nat> = Succ<<N as Nat>::Add<M>>

The value of Self + N. Read more
Source§

type Mul<M: Nat> = <<N as Nat>::Mul<M> as Nat>::Add<M>

The value of Self * N. Read more
Source§

type Pow<M: Nat> = <<N as Nat>::Pow<M> as Nat>::Mul<M>

The value of N ^ Self. Read more

Auto Trait Implementations§

§

impl<N> Freeze for Succ<N>

§

impl<N> RefUnwindSafe for Succ<N>
where N: RefUnwindSafe,

§

impl<N> Send for Succ<N>
where N: Send,

§

impl<N> Sync for Succ<N>
where N: Sync,

§

impl<N> Unpin for Succ<N>
where N: Unpin,

§

impl<N> UnwindSafe for Succ<N>
where N: UnwindSafe,

Blanket Implementations§

Source§

impl<T> Any for T
where T: 'static + ?Sized,

Source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
Source§

impl<T> Borrow<T> for T
where T: ?Sized,

Source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
Source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

Source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
Source§

impl<T> From<T> for T

Source§

fn from(t: T) -> T

Returns the argument unchanged.

Source§

impl<T, U> Into<U> for T
where U: From<T>,

Source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

Source§

type Error = Infallible

The type returned in the event of a conversion error.
Source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
Source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

Source§

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
Source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
Source§

impl<T> TypeEq for T

Source§

type SelfType = T

This is always the type that the trait is implemented on.
Source§

impl<V, P, Q> Valuation<Implies<P, Q>> for V
where P: Formula, Q: Formula, V: Valuation<P> + Valuation<Q>,

Source§

type Value = <<V as Valuation<P>>::Value as Bool>::Implies<<V as Valuation<Q>>::Value>

The value of the valuation on P.
Source§

impl<V, P> Valuation<Not<P>> for V
where P: Formula, V: Valuation<P>,

Source§

type Value = <<V as Valuation<P>>::Value as Bool>::Not

The value of the valuation on P.