Theorems · Theorem · group theory
CategoryTheory.Subgroupoid.inclusion_refl
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] {S : CategoryTheory.Subgroupoid C},
CategoryTheory.Subgroupoid.inclusion ⋯ = CategoryTheory.Functor.id ↑S.objs- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Set.Elemstatement and proof · cited by 7,166
- CategoryTheory.Functor.idstatement · cited by 3,333
- le_reflstatement and proof · cited by 2,061
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement and proof · cited by 75
- CategoryTheory.Subgroupoid.objsstatement and proof · cited by 29
- CategoryTheory.Functor.hextproof · cited by 15
- CategoryTheory.Subgroupoid.inclusionstatement and proof · cited by 5
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