Theorems · Theorem · group theory
CategoryTheory.Subgroupoid.full_arrow_eq_iff
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (D : Set C) {c d : ↑(CategoryTheory.Subgroupoid.full D).objs}
{f g : c ⟶ d}, f = g ↔ ↑f = ↑g- 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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Cites7
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
- Set.Elemstatement and proof · cited by 7,166
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoid.arrowsstatement · cited by 53
- CategoryTheory.Subgroupoid.objsstatement and proof · cited by 29
- CategoryTheory.Subgroupoid.fullstatement and proof · cited by 7
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