Mathlib Map

Theorems · Definition · category theory

Sequential.sequentialToTop

CategoryTheory.Functor Sequential TopCat

The fully faithful embedding of Sequential in TopCat.

Defined in
Mathlib.Topology.Category.Sequential
Cited by
2 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Sequential.fullyFaithfulSequentialToTop · cited by 0Sequential.fullyFaithfulS…LightCondSet.sequentialToLightCondSet · cited by 0LightCondSet.sequentialTo…LightCondSet.sequentialAdjunction · cited by 0LightCondSet.sequentialAd…Sequential.sequentialToTop_map · cited by 0Sequential.sequentialToTo…Sequential.sequentialToTop_obj · cited by 0Sequential.sequentialToTo…CategoryTheory.Functor · cited by 16252CategoryTheory.FunctorTopCat · cited by 1889TopCatCategoryTheory.inducedFunctor · cited by 14CategoryTheory.inducedFun…Sequential · cited by 11SequentialSequential.toTop · cited by 8Sequential.toTopSequential.sequentialToTopCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.