Theorems · Definition · combinatorics
SimpleGraph.Iso.toHom
{V : Type u_1} → {W : Type u_2} → {G : SimpleGraph V} → {G' : SimpleGraph W} → G ≃g G' → G →g G'An isomorphism of graphs gives rise to a homomorphism of graphs.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses 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.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Homstatement · cited by 139
- SimpleGraph.Isostatement and proof · cited by 99
- SimpleGraph.Embedding.toHomproof · cited by 17
- SimpleGraph.Iso.toEmbeddingproof · cited by 9
Cited by13
Results whose statement or proof uses this declaration.
- SimpleGraph.Copy.range_toSubgraphproof · cited by 2
- SimpleGraph.Iso.symm_toHom_comp_toHomstatement and proof · cited by 1
- SimpleGraph.Iso.connected_iffproof · cited by 1
- SimpleGraph.Subgraph.map_iso_topstatement and proof · cited by 1
- SimpleGraph.Iso.reachable_iffproof · cited by 1
- SimpleGraph.Iso.toHom_comp_symm_toHomstatement and proof · cited by 0
- SimpleGraph.Iso.toHom_sumCongrstatement · cited by 0
- SimpleGraph.chromaticNumber_congrproof · cited by 0
- SimpleGraph.colorable_congrproof · cited by 0
- SimpleGraph.Hom.sum_comp_sumCommstatement and proof · cited by 0
- SimpleGraph.Hom.sum_sum_comp_sumAssocstatement and proof · cited by 0
- SimpleGraph.Iso.preconnected_iffproof · cited by 0