Theorems · Theorem · category theory
CategoryTheory.nerveFunctor_obj
∀ (C : CategoryTheory.Cat), CategoryTheory.nerveFunctor.obj C = CategoryTheory.nerve ↑C
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- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Bundled.αstatement · cited by 736
- CategoryTheory.nervestatement · cited by 68
- CategoryTheory.nerveFunctorstatement and proof · cited by 3
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