Theorems · Theorem · group theory
CategoryTheory.Subgroupoid.disconnect_isTotallyDisconnected
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (S : CategoryTheory.Subgroupoid C), S.disconnect.IsTotallyDisconnected- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 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.
- Quiver.Homproof · cited by 32,603
- Set.Nonemptyproof · cited by 2,627
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement and proof · cited by 75
- CategoryTheory.Subgroupoid.arrowsproof · cited by 53
- CategoryTheory.Subgroupoid.disconnectstatement and proof · cited by 5
- CategoryTheory.Subgroupoid.IsTotallyDisconnectedstatement · cited by 2
- CategoryTheory.Subgroupoid.isTotallyDisconnected_iffproof · cited by 1
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