FiberTyS_

Enum FiberTyS_ 

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pub enum FiberTyS_ {
    TopVar(TopVarName),
    Over(BaseTmS),
    Record(Row<FiberTyS>),
    Id(FiberTyS, FiberTmS, FiberTmS),
}
Expand description

Inner enum for FiberTyS.

Fiber types type the fiber world — instances of a model and their elements — mirroring how BaseTyS types the base world (models). See crate::tt::toplevel for the comprehension-category picture. The constructors parallel the base world: TopVar references a top-level instance, Over is the atomic fiber-element type, Record assembles them into an instance, and Id imposes a (propositional) equation — just as BaseTyS_::TopVar and BaseTyS_::Id do in the base.

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TopVar(TopVarName)

A reference to a top-level instance declaration, as in a sub-instance import we : Edge. Mirrors BaseTyS_::TopVar: it appears only in syntax and exists to preserve the instance’s name for display — like base top-vars, it is resolved away in the value world (there is no FiberTyV_::TopVar), where it becomes the referenced instance’s Record.

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Over(BaseTmS)

The type of a fiber element lying over a codomain object obj.

obj is a base object term (rooted at the codomain model), so it may be a plain generator (self.V), or a modal object such as a list [M, M] or a tensor @tensor [H, M]. Comparing two Over types is comparing their base objects, so modal objects need no special handling. No surface syntax — its inhabitants (FiberTmS) are introduced by set-literal clauses field := [...], projection out of a sub-instance import, fiber list/object -operation literals, and codomain-morphism application.

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Record(Row<FiberTyS>)

An instance of a model — an object of the fiber over the codomain model — presented as a record of fiber types. A generator is an Over field, a sub-instance import is a nested Record field, and an equation is an Id field. This is what instance I : X := [...] elaborates to, and also the type of a sub-instance import we : Edge (whose generators are then projected as we.e).

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Id(FiberTyS, FiberTmS, FiberTmS)

A propositional equation between two fiber elements of the given fiber type, asserted to hold in the enclosing instance. Mirrors BaseTyS_::Id; like it, these are proof-irrelevant.

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impl<T> Any for T
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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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fn into_either(self, into_left: bool) -> Either<Self, Self>

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const ALIGN: usize

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type Init = T

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unsafe fn init(init: <T as Pointable>::Init) -> usize

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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