Theorems · Definition · combinatorics
SimpleGraph.end
{V : Type u} → (G : SimpleGraph V) → Set ((j : (Finset V)ᵒᵖ) → G.componentComplFunctor.obj j)The end of a graph, defined as the sections of the functor component_compl_functor .
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement · cited by 19,642
- Finsetstatement · cited by 13,712
- Oppositestatement · cited by 8,081
- SimpleGraphstatement and proof · cited by 3,072
- CategoryTheory.Functor.sectionsproof · cited by 140
- SimpleGraph.componentComplFunctorstatement and proof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- SimpleGraph.nonempty_ends_of_infinitestatement · cited by 0
- SimpleGraph.end_componentCompl_infinitestatement and proof · cited by 0
- SimpleGraph.end_hom_mk_of_mkstatement and proof · cited by 0