Theorems · Theorem · category theory
CategoryTheory.Groupoid.isIsomorphic_iff_nonempty_hom
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] {X Y : C}, CategoryTheory.IsIsomorphic X Y ↔ Nonempty (X ⟶ Y)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Groupoidstatement and proof · cited by 182
- Equiv.nonempty_congrproof · cited by 47
- CategoryTheory.IsIsomorphicstatement · cited by 9
- CategoryTheory.Groupoid.isoEquivHomproof · cited by 4
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