Theorems · Theorem · group theory
CategoryTheory.Subgroupoid.id_mem_of_tgt
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (S : CategoryTheory.Subgroupoid C) {c d : C} {f : c ⟶ d},
f ∈ S.arrows c d → CategoryTheory.CategoryStruct.id d ∈ S.arrows d d- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement and proof · cited by 75
- CategoryTheory.Subgroupoid.arrowsstatement and proof · cited by 53
- CategoryTheory.Subgroupoid.id_mem_of_nonempty_isotropyproof · cited by 2
- CategoryTheory.Subgroupoid.mem_objs_of_tgtproof · cited by 2
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