Theorems · Theorem · category theory
Quiver.freeGroupoidFunctor_comp
∀ {V : Type u} [inst : Quiver V] {V' : Type u'} [inst_1 : Quiver V'] {V'' : Type u''} [inst_2 : Quiver V'']
(φ : V ⥤q V') (φ' : V' ⥤q V''),
Quiver.freeGroupoidFunctor (φ ⋙q φ') = (Quiver.freeGroupoidFunctor φ).comp (Quiver.freeGroupoidFunctor φ')- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Prefunctor.compstatement and proof · cited by 35
- CategoryTheory.Functor.toPrefunctorproof · cited by 24
- Quiver.FreeGroupoidstatement · cited by 8
- Quiver.FreeGroupoid.ofproof · cited by 7
- Quiver.FreeGroupoid.liftproof · cited by 5
- Quiver.FreeGroupoid.lift_uniqueproof · cited by 3
- Quiver.freeGroupoidFunctorstatement · cited by 2
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