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Theorems · Theorem · combinatorics

SimpleGraph.ComponentCompl.subset_hom

∀ {V : Type u} {G : SimpleGraph V} {K L : Set V} (C : G.ComponentCompl L) (h : K ⊆ L),
  ↑C ⊆ ↑(SimpleGraph.ComponentCompl.hom h C)
Defined in
Mathlib.Combinatorics.SimpleGraph.Ends.Defs
Cited by
3 results in Mathlib
Foundations
Depth 60 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.ComponentCompl.hom_eq_iff_le · cited by 1ComponentCompl.hom_eq_iff…SimpleGraph.componentComplMk_mem_hom · cited by 0SimpleGraph.componentComp…SimpleGraph.ComponentCompl.hom_infinite · cited by 0ComponentCompl.hom_infini…Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeSimpleGraph · cited by 3072SimpleGraphSimpleGraph.ComponentCompl · cited by 29SimpleGraph.ComponentComplSimpleGraph.componentComplMk · cited by 15SimpleGraph.componentComp…SimpleGraph.ComponentCompl.hom · cited by 12ComponentCompl.homComponentCompl.subset_homCITED BYCITES

Cites6

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Cited by3

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