Theorems · Theorem · category theory
CategoryTheory.IsFiltered.isConnected
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.IsFiltered C], CategoryTheory.IsConnected C- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.IsFilteredstatement and proof · cited by 210
- CategoryTheory.IsConnectedstatement · cited by 51
- CategoryTheory.IsPreconnectedproof · cited by 25
- CategoryTheory.IsFilteredOrEmpty.isPreconnectedproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.final_of_isFiltered_structuredArrowproof · cited by 2
- CategoryTheory.initial_of_representablyCoflatproof · cited by 0