Struct prop::path_semantics::POrdProof

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pub struct POrdProof<T, U>(_);

Expand description

Proof of path semantical order.

Implementations

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impl<T, U> POrdProof<T, U>

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pub fn new() -> Self where
T: POrd,

Creates a new proof from trait constraints.

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pub fn transitivity<V>(self, _: POrdProof<U, V>) -> POrdProof<T, V>

Transivity of path semantical order.

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pub fn by_eq_left<V>(self, eq: Eq<T, V>) -> POrdProof<V, U>

Transform left argument by equivalence.

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pub fn by_eq_right<V>(self, eq: Eq<U, V>) -> POrdProof<T, V>

Transform right argument by equivalence.

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pub fn by_imply_left<V>(self, _: Imply<V, T>) -> POrdProof<V, U>

Transform left argument by implication.

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pub fn by_imply_right<V>(self, _: Imply<U, V>) -> POrdProof<T, V>

Transform right argument by implication.

Trait Implementations

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impl<T, U> Clone for POrdProof<T, U>

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fn clone(&self) -> POrdProof<T, U>

Returns a copy of the value. Read more

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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more

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impl<T: 'static, U: 'static> Decidable for POrdProof<T, U>

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fn decide() -> ExcM<POrdProof<T, U>>

Get excluded middle rule.

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impl<T: POrd, U> Default for POrdProof<T, U>

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fn default() -> Self

Returns the “default value” for a type. Read more

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impl<T: Copy, U: Copy> Copy for POrdProof<T, U>

Auto Trait Implementations

impl<T, U> RefUnwindSafe for POrdProof<T, U> where
T: RefUnwindSafe,
U: RefUnwindSafe,

impl<T, U> Send for POrdProof<T, U> where
T: Send,
U: Send,

impl<T, U> Sync for POrdProof<T, U> where
T: Sync,
U: Sync,

impl<T, U> Unpin for POrdProof<T, U> where
T: Unpin,
U: Unpin,

impl<T, U> UnwindSafe for POrdProof<T, U> where
T: UnwindSafe,
U: UnwindSafe,

Blanket Implementations

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

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pub fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Avatar<Inv<T>> for T

type Out = Inv<T>

The output avatar.

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pub fn inv(Self) -> Inv<T>

Involve the avatar.

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

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pub fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

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

Mutably borrows from an owned value. Read more

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impl<T> From<T> for T

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pub fn from(t: T) -> T

Performs the conversion.

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

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pub fn into(self) -> U

Performs the conversion.

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impl<T> Prop for T where
T: 'static + Clone,

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fn double_neg(self) -> Dneg<Self>

Get double negation rule from proof.

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fn map_any<T>(self) -> Imply<T, Self>

Maps anything into itself.

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impl<T> ToOwned for T where
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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pub fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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pub fn clone_into(&self, target: &mut T)

🔬 This is a nightly-only experimental API. (toowned_clone_into)

Uses borrowed data to replace owned data, usually by cloning. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

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

Performs the conversion.

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

type Error = >::Error

The type returned in the event of a conversion error.

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pub fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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impl<T> DProp for T where
T: Decidable,

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impl<T, U> Lt<S> for T where
T: Lt,

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Struct prop::path_semantics::POrdProof

Implementations

impl<T, U> POrdProof<T, U>

pub fn new() -> Self where T: POrd<U>,

pub fn transitivity<V>(self, _: POrdProof<U, V>) -> POrdProof<T, V>

pub fn by_eq_left<V>(self, eq: Eq<T, V>) -> POrdProof<V, U>

pub fn by_eq_right<V>(self, eq: Eq<U, V>) -> POrdProof<T, V>

pub fn by_imply_left<V>(self, _: Imply<V, T>) -> POrdProof<V, U>

pub fn by_imply_right<V>(self, _: Imply<U, V>) -> POrdProof<T, V>

Trait Implementations

impl<T, U> Clone for POrdProof<T, U>

fn clone(&self) -> POrdProof<T, U>

fn clone_from(&mut self, source: &Self)

impl<T: 'static, U: 'static> Decidable for POrdProof<T, U>

fn decide() -> ExcM<POrdProof<T, U>>

impl<T: POrd<U>, U> Default for POrdProof<T, U>

fn default() -> Self

impl<T: Copy, U: Copy> Copy for POrdProof<T, U>

Auto Trait Implementations

impl<T, U> RefUnwindSafe for POrdProof<T, U> where T: RefUnwindSafe, U: RefUnwindSafe,

impl<T, U> Send for POrdProof<T, U> where T: Send, U: Send,

impl<T, U> Sync for POrdProof<T, U> where T: Sync, U: Sync,

impl<T, U> Unpin for POrdProof<T, U> where T: Unpin, U: Unpin,

impl<T, U> UnwindSafe for POrdProof<T, U> where T: UnwindSafe, U: UnwindSafe,

Blanket Implementations

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

pub fn type_id(&self) -> TypeId

impl<T> Avatar<Inv<T>> for T

type Out = Inv<T>

pub fn inv(Self) -> Inv<T>

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

pub fn borrow(&self) -> &T

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

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

impl<T> From<T> for T

pub fn from(t: T) -> T

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

pub fn into(self) -> U

impl<T> Prop for T where T: 'static + Clone,

fn double_neg(self) -> Dneg<Self>

fn map_any<T>(self) -> Imply<T, Self>

impl<T> ToOwned for T where T: Clone,

type Owned = T

pub fn to_owned(&self) -> T

pub fn clone_into(&self, target: &mut T)

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

type Error = Infallible

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

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

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

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

impl<T> DProp for T where T: Decidable,

impl<T, U> Lt<S<U>> for T where T: Lt<U>,

impl<U, T> NonUniform<U> for T where T: Avatar<U, Out = U>,

pub fn new() -> Self where
T: POrd<U>,

impl<T, U> RefUnwindSafe for POrdProof<T, U> where
T: RefUnwindSafe,
U: RefUnwindSafe,

impl<T, U> Send for POrdProof<T, U> where
T: Send,
U: Send,

impl<T, U> Sync for POrdProof<T, U> where
T: Sync,
U: Sync,

impl<T, U> Unpin for POrdProof<T, U> where
T: Unpin,
U: Unpin,

impl<T, U> UnwindSafe for POrdProof<T, U> where
T: UnwindSafe,
U: UnwindSafe,

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

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

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

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

impl<T> Prop for T where
T: 'static + Clone,

impl<T> ToOwned for T where
T: Clone,

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

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

impl<T> DProp for T where
T: Decidable,

impl<T, U> Lt<S<U>> for T where
T: Lt<U>,

impl<U, T> NonUniform<U> for T where
T: Avatar<U, Out = U>,