Theorems · Definition · combinatorics
SimpleGraph.Iso.mapEdgeSet
{V : Type u_1} → {W : Type u_2} → {G : SimpleGraph V} → {G' : SimpleGraph W} → G ≃g G' → ↑G.edgeSet ≃ ↑G'.edgeSetAn isomorphism of graphs induces an equivalence of edge sets.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Set.Elemstatement · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- Sym2statement · cited by 737
- SimpleGraph.edgeSetstatement · cited by 199
- SimpleGraph.Isostatement and proof · cited by 99
- RelIso.toRelEmbeddingproof · cited by 34
- SimpleGraph.Iso.symmproof · cited by 34
- RelEmbedding.toRelHomproof · cited by 15
- SimpleGraph.Hom.mapEdgeSetproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- SimpleGraph.Iso.card_edgeFinset_eqproof · cited by 6
- SimpleGraph.Iso.mapEdgeSet_symm_applystatement and proof · cited by 0
- SimpleGraph.Iso.mapEdgeSet_applystatement and proof · cited by 0