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TransferPrinciple

oxilean_std::nonstandard_analysis::types

Struct TransferPrinciple 

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pub struct TransferPrinciple;
Expand description

The Transfer Principle: first-order sentences about ℝ transfer to *ℝ.

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impl TransferPrinciple

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pub fn new() -> Self

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pub fn first_order_statement_transfers(&self) -> bool

A first-order statement about the reals transfers to the hyperreals.

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pub fn internal_sets_transfer(&self) -> bool

Internal sets in *ℝ satisfy the transfer principle.

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impl Default for TransferPrinciple

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fn default() -> Self

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

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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> 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, 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.