Theorems · Definition · combinatorics
SimpleGraph.Hom.comap
{V : Type u_1} → {W : Type u_2} → (f : V → W) → (G : SimpleGraph W) → SimpleGraph.comap f G →g GThere is a homomorphism to a graph from a comapped graph.
When the function is injective, this is an embedding (see SimpleGraph.Embedding.comap).
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Homstatement · cited by 139
- SimpleGraph.comapstatement · cited by 29
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.Hom.comap_applystatement and proof · cited by 0
- SimpleGraph.Hom.comp_comap_ofLEstatement · cited by 0