Theorems · Theorem · category theory
LightProfinite.Extend.functor_obj
∀ {F : CategoryTheory.Functor ℕᵒᵖ FintypeCat} (c : CategoryTheory.Limits.Cone (F.comp FintypeCat.toLightProfinite))
(i : ℕᵒᵖ), (LightProfinite.Extend.functor c).obj i = CategoryTheory.StructuredArrow.mk (c.π.app i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- Finitestatement · cited by 3,029
- TopCatstatement · cited by 1,889
- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Functor.conststatement · cited by 1,264
- SecondCountableTopologystatement · cited by 750
- CategoryTheory.Limits.Conestatement and proof · cited by 710
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