Mathlib Map

Theorems · Definition · combinatorics

SimpleGraph.Iso.comap

{V : Type u_1} → {W : Type u_2} → (f : V ≃ W) → (G : SimpleGraph W) → SimpleGraph.comap (⇑f) G ≃g G

Given a bijection, there is an embedding from the comapped graph into the original graph.

Defined in
Mathlib.Combinatorics.SimpleGraph.Maps
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
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Around this declaration

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

SimpleGraph.overFinIso · cited by 1SimpleGraph.overFinIsoSimpleGraph.Iso.comap_apply · cited by 0Iso.comap_applySimpleGraph.Iso.comap_symm_apply · cited by 0Iso.comap_symm_applyDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Iso · cited by 99SimpleGraph.IsoSimpleGraph.comap · cited by 29SimpleGraph.comapIso.comapCITED BYCITES

Cites5

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Cited by3

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