Theorems · Theorem · group theory
CategoryTheory.Subgroupoid.mem_full_iff
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (D : Set C) {c d : C} {f : c ⟶ d},
f ∈ (CategoryTheory.Subgroupoid.full D).arrows c d ↔ c ∈ D ∧ d ∈ D- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- 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.
- Setstatement and proof · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoid.arrowsstatement · cited by 53
- CategoryTheory.Subgroupoid.fullstatement · cited by 7
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