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ProofStep

Enum ProofStep 

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pub enum ProofStep {
    Beta {
        redex_depth: u32,
    },
    Delta {
        name: String,
    },
    Zeta,
    Iota {
        recursor: String,
        ctor_idx: u32,
    },
    Eta,
    SubstLevel {
        params: Vec<String>,
    },
    Assumption,
}
Expand description

A single step in a proof reduction sequence.

These steps record the high-level reduction moves taken during kernel type-checking, enabling efficient replay or auditing.

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Beta

β-reduction: substitute the argument into the body.

redex_depth records the nesting depth at which this reduction occurred.

Fields

§redex_depth: u32

De Bruijn depth of the beta-redex site.

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Delta

δ-reduction: unfold a named definition.

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§name: String

Name of the definition that was unfolded.

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Zeta

ζ-reduction: substitute a let-binding.

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Iota

ι-reduction: reduce a recursor application to a branch.

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§recursor: String

Name of the recursor that fired.

§ctor_idx: u32

Index of the constructor branch selected.

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Eta

η-reduction: contract λ x, f x to f.

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SubstLevel

Universe-level substitution.

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§params: Vec<String>

Parameter names substituted.

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Assumption

Appeal to a local assumption (hypothesis) in the context.

Trait Implementations§

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impl Clone for ProofStep

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fn clone(&self) -> Self

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 ProofStep

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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 Display for ProofStep

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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 ProofStep

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impl PartialEq for ProofStep

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fn eq(&self, other: &Self) -> 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 ProofStep

Auto Trait Implementations§

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> 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> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = !

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

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.