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CongrProof

Enum CongrProof 

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pub enum CongrProof {
    Refl(Expr),
    Symm(Box<CongrProof>),
    Trans(Box<CongrProof>, Box<CongrProof>),
    Congr(Box<CongrProof>, Box<CongrProof>),
    Hyp(Name),
}
Expand description

A proof of an equality in the congruence closure.

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Refl(Expr)

refl a: a = a.

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Symm(Box<CongrProof>)

symm p: p proves a = b, so symm proves b = a.

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Trans(Box<CongrProof>, Box<CongrProof>)

trans p q: p proves a = b and q proves b = c.

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Congr(Box<CongrProof>, Box<CongrProof>)

congr p q: p proves f = g and q proves a = b, so (f a) = (g b).

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Hyp(Name)

hyp name: an equality hypothesis.

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impl CongrProof

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pub fn depth(&self) -> usize

Compute the depth of the proof term.

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pub fn is_refl(&self) -> bool

Check if the proof is a trivial reflexivity.

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pub fn hypothesis_count(&self) -> usize

Count the number of hypothesis uses.

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pub fn simplify(self) -> Self

Simplify double negations (symm (symm p)p).

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impl Clone for CongrProof

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fn clone(&self) -> CongrProof

Returns a duplicate 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 Debug for CongrProof

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

Formats the value using the given formatter. Read more

Auto Trait 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> 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.