Theorems · Theorem · category theory
CategoryTheory.IsFilteredOrEmpty.isPreconnected
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.IsFilteredOrEmpty C],
CategoryTheory.IsPreconnected C- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.IsFilteredOrEmptystatement and proof · cited by 55
- CategoryTheory.IsFiltered.rightToMaxproof · cited by 26
- CategoryTheory.IsFiltered.leftToMaxproof · cited by 26
- Relation.ReflTransGen.singleproof · cited by 26
- CategoryTheory.IsPreconnectedstatement · cited by 25
- CategoryTheory.Zigzag.transproof · cited by 12
- CategoryTheory.zigzag_isPreconnectedproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.IsFiltered.isConnectedproof · cited by 2