Mathlib Map

Theorems · Definition · combinatorics

SimpleGraph.Hom.mapEdgeSet

{V : Type u_1} → {W : Type u_2} → {G : SimpleGraph V} → {G' : SimpleGraph W} → G →g G' → ↑G.edgeSet → ↑G'.edgeSet

The map between edge sets induced by a homomorphism. The underlying map on edges is given by Sym2.map.

Defined in
Mathlib.Combinatorics.SimpleGraph.Maps
Cited by
6 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SimpleGraph.Iso.mapEdgeSet · cited by 3Iso.mapEdgeSetSimpleGraph.EdgeLabeling.pullback · cited by 2EdgeLabeling.pullbackSimpleGraph.Embedding.mapEdgeSet · cited by 1Embedding.mapEdgeSetSimpleGraph.Iso.mapEdgeSet_symm_apply · cited by 0Iso.mapEdgeSet_symm_applySimpleGraph.EdgeLabeling.pullback_apply · cited by 0EdgeLabeling.pullback_app…SimpleGraph.Hom.mapEdgeSet.injective · cited by 0mapEdgeSet.injectiveSimpleGraph.Hom.mapEdgeSet_coe · cited by 0Hom.mapEdgeSet_coeSimpleGraph.Copy.mapEdgeSet · cited by 0Copy.mapEdgeSetSimpleGraph.Embedding.mapEdgeSet_apply · cited by 0Embedding.mapEdgeSet_applySimpleGraph.Iso.mapEdgeSet_apply · cited by 0Iso.mapEdgeSet_applyDFunLike.coe · cited by 62936DFunLike.coeSet.Elem · cited by 7166Set.ElemSimpleGraph · cited by 3072SimpleGraphSym2 · cited by 737Sym2SimpleGraph.edgeSet · cited by 199SimpleGraph.edgeSetSimpleGraph.Hom · cited by 139SimpleGraph.HomSym2.map · cited by 61Sym2.mapHom.mapEdgeSetCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.