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ConstructiveProp

Enum ConstructiveProp 

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pub enum ConstructiveProp {
    True,
    False,
    And(Box<ConstructiveProp>, Box<ConstructiveProp>),
    Or(Box<ConstructiveProp>, Box<ConstructiveProp>),
    Not(Box<ConstructiveProp>),
    Implies(Box<ConstructiveProp>, Box<ConstructiveProp>),
    Exists(String, Box<ConstructiveProp>),
    Forall(String, Box<ConstructiveProp>),
    Atom(String, Vec<String>),
    Eq(String, String),
}
Expand description

A constructive proposition in intuitionistic logic.

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True

Logical truth (⊤).

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False

Logical falsehood (⊥).

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And(Box<ConstructiveProp>, Box<ConstructiveProp>)

Conjunction (P ∧ Q).

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Or(Box<ConstructiveProp>, Box<ConstructiveProp>)

Disjunction (P ∨ Q).

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Not(Box<ConstructiveProp>)

Negation (¬P), defined as P → ⊥.

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Implies(Box<ConstructiveProp>, Box<ConstructiveProp>)

Implication (P → Q).

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Exists(String, Box<ConstructiveProp>)

Existential quantification (∃x. P(x)).

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Forall(String, Box<ConstructiveProp>)

Universal quantification (∀x. P(x)).

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Atom(String, Vec<String>)

Atomic proposition with arguments.

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Eq(String, String)

Propositional equality of two terms.

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impl Clone for ConstructiveProp

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fn clone(&self) -> ConstructiveProp

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Debug for ConstructiveProp

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl Eq for ConstructiveProp

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impl PartialEq for ConstructiveProp

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fn eq(&self, other: &ConstructiveProp) -> bool

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=. Read more
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impl StructuralPartialEq for ConstructiveProp

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Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> Setoid for T
where T: PartialEq,

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fn equiv(&self, other: &T) -> bool

The equivalence relation.
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fn refl(&self) -> bool

Reflexivity of the equivalence.
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fn symm(&self, other: &Self) -> bool

Symmetry: if self ~ other then other ~ self.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.