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Theorems · Theorem · combinatorics

SimpleGraph.ConnectedComponent.Represents.image_out

∀ {V : Type u} {G : SimpleGraph V} (C : Set G.ConnectedComponent),
  SimpleGraph.ConnectedComponent.Represents (Quot.out '' C) C
Defined in
Mathlib.Combinatorics.SimpleGraph.Connectivity.Represents
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Foundations
Depth 10 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetSet.image · cited by 5609Set.imageSimpleGraph · cited by 3072SimpleGraphSet.image_congr · cited by 533Set.image_congrSimpleGraph.Reachable · cited by 141SimpleGraph.ReachableSimpleGraph.ConnectedComponent · cited by 86SimpleGraph.ConnectedComp…SimpleGraph.connectedComponentMk · cited by 40SimpleGraph.connectedComp…Quot.out · cited by 14Quot.outSimpleGraph.ConnectedComponent.Represents · cited by 10ConnectedComponent.Repres…Quot.out_eq · cited by 9Quot.out_eqSet.BijOn.mk · cited by 5BijOn.mkRepresents.image_outCITED BYCITES

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