Theorems · Theorem · combinatorics
SimpleGraph.Embedding.map_adj_iff
∀ {V : Type u_1} {W : Type u_2} {G : SimpleGraph V} {G' : SimpleGraph W} (f : G ↪g G') {v w : V},
G'.Adj (f v) (f w) ↔ G.Adj v w- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
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.
- DFunLike.coestatement · cited by 62,936
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement · cited by 1,346
- SimpleGraph.Embeddingstatement and proof · cited by 41
- RelEmbedding.map_rel_iffproof · cited by 25
Cited by6
Results whose statement or proof uses this declaration.
- SimpleGraph.zarankiewicz_of_fintypeCard_eqproof · cited by 2
- SimpleGraph.Embedding.comap_eqproof · cited by 2
- SimpleGraph.Embedding.map_mem_edgeSet_iffproof · cited by 1
- SimpleGraph.isClique_range_copy_topproof · cited by 1
- SimpleGraph.Embedding.apply_mem_neighborSet_iffproof · cited by 1
- SimpleGraph.cliqueFree_completeMultipartiteGraphproof · cited by 0