Mathlib Map

Theorems · Theorem · combinatorics

SimpleGraph.map_singletonSubgraph

∀ {V : Type u} {W : Type v} {G : SimpleGraph V} {G' : SimpleGraph W} (f : G →g G') {v : V},
  SimpleGraph.Subgraph.map f (G.singletonSubgraph v) = G'.singletonSubgraph (f v)
Defined in
Mathlib.Combinatorics.SimpleGraph.Subgraph
Cited by
1 results in Mathlib
Foundations
Depth 24 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.Walk.toSubgraph_map · cited by 2Walk.toSubgraph_mapDFunLike.coe · cited by 62936DFunLike.coeSet.image · cited by 5609Set.imageBot.bot · cited by 4720Bot.botSimpleGraph · cited by 3072SimpleGraphSet.ext · cited by 2266Set.extSimpleGraph.Adj · cited by 1346SimpleGraph.AdjSimpleGraph.Subgraph · cited by 326SimpleGraph.SubgraphSet.image_singleton · cited by 174Set.image_singletonSimpleGraph.Hom · cited by 139SimpleGraph.HomSimpleGraph.Subgraph.ext · cited by 33Subgraph.extSimpleGraph.Subgraph.map · cited by 24Subgraph.mapSimpleGraph.singletonSubgraph · cited by 15SimpleGraph.singletonSubg…SimpleGraph.Subgraph.map_verts · cited by 13Subgraph.map_vertsSimpleGraph.Subgraph.map_adj · cited by 10Subgraph.map_adjSimpleGraph.singletonSubgraph_verts · cited by 6SimpleGraph.singletonSubg…SimpleGraph.map_singletonSubg…CITED BYCITES

Cites16

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Cited by1

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