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Theorems · Definition · combinatorics

Graph.IsClosedSubgraph.casesOn

{α : Type u_1} →
  {β : Type u_2} →
    {H G : Graph α β} →
      {motive : H.IsClosedSubgraph G → Sort u} →
        (t : H.IsClosedSubgraph G) →
          ((isInducedSubgraph : H.IsInducedSubgraph G) →
              (closed : ∀ ⦃e : β⦄ ⦃x : α⦄, G.Inc e x → x ∈ H.vertexSet → e ∈ H.edgeSet) → motive ⋯) →
            motive t
Defined in
Mathlib.Combinatorics.Graph.Subgraph
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
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Around this declaration

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

Graph.isClosedSubgraph_iff · cited by 0Graph.isClosedSubgraph_iffSet · cited by 53352SetGraph · cited by 242GraphGraph.vertexSet · cited by 87Graph.vertexSetGraph.edgeSet · cited by 79Graph.edgeSetGraph.Inc · cited by 42Graph.IncGraph.IsClosedSubgraph · cited by 17Graph.IsClosedSubgraphGraph.IsInducedSubgraph · cited by 16Graph.IsInducedSubgraphIsClosedSubgraph.casesOnCITED BYCITES

Cites7

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Cited by1

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