Theorems · Theorem · category theory
CategoryTheory.FreeGroupoid.of_obj_bijective
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C], Function.Bijective (CategoryTheory.FreeGroupoid.of C).obj- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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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 and proof · cited by 32,673
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Prefunctor.objproof · cited by 1,241
- Function.Bijectivestatement · cited by 863
- CategoryTheory.Quotient.asproof · cited by 47
- CategoryTheory.FreeGroupoidstatement and proof · cited by 27
- CategoryTheory.FreeGroupoid.ofstatement and proof · cited by 21
- Quiver.FreeGroupoid.ofproof · cited by 7
- CategoryTheory.Quotient.mk.noConfusionproof · cited by 3
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