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RMStrength

Enum RMStrength 

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pub enum RMStrength {
    RCA0,
    BetweenRCA0AndWKL0,
    WKL0,
    BetweenWKL0AndACA0,
    ACA0,
    BetweenACA0AndATR0,
    ATR0,
    Pi11CA0,
    AbovePi11CA0,
    Unknown,
}
Expand description

Strength classification for a combinatorial principle in the RM zoo.

Variants§

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RCA0

Provable in RCA₀.

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BetweenRCA0AndWKL0

Strictly between RCA₀ and WKL₀.

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WKL0

Equivalent to WKL₀ over RCA₀.

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BetweenWKL0AndACA0

Strictly between WKL₀ and ACA₀.

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ACA0

Equivalent to ACA₀ over RCA₀.

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BetweenACA0AndATR0

Strictly between ACA₀ and ATR₀.

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ATR0

Equivalent to ATR₀ over RCA₀.

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Pi11CA0

Equivalent to Π¹_1-CA₀ over RCA₀.

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AbovePi11CA0

Strictly above all Big Five (requires additional set-existence).

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Unknown

Strength not yet determined.

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impl RMStrength

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pub fn lower_bound_system(&self) -> Option<BigFiveSystem>

Return the closest Big Five system from below (or None if below RCA₀).

Trait Implementations§

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impl Clone for RMStrength

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fn clone(&self) -> RMStrength

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 RMStrength

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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 PartialEq for RMStrength

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Eq for RMStrength

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impl StructuralPartialEq for RMStrength

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> 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.