Theorems · Definition · combinatorics
SimpleGraph.Iso.homCongr
{V : Type u_1} →
{W : Type u_2} →
{X : Type u_3} →
{Y : Type u_4} →
{G : SimpleGraph V} →
{G' : SimpleGraph W} →
G ≃g G' → {G'' : SimpleGraph X} → {G''' : SimpleGraph Y} → G'' ≃g G''' → G →g G'' ≃ G' →g G'''Equivalence of homomorphisms induced by isomorphisms of graphs.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, 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.
- Equivstatement · cited by 8,337
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Homstatement · cited by 139
- SimpleGraph.Isostatement and proof · cited by 99
- RelIso.relHomCongrproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.coloringCongrproof · cited by 0