Theorems · Definition · combinatorics
SimpleGraph.Walk.toDeleteEdges
{V : Type u} →
{G : SimpleGraph V} →
(s : Set (Sym2 V)) → {v w : V} → (p : G.Walk v w) → (∀ e ∈ p.edges, e ∉ s) → (G.deleteEdges s).Walk v wGiven a walk that avoids a set of edges, produce a walk in the graph with those edges deleted.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Walkstatement and proof · cited by 915
- Sym2statement and proof · cited by 737
- SimpleGraph.Walk.edgesstatement and proof · cited by 145
- SimpleGraph.deleteEdgesstatement and proof · cited by 64
- SimpleGraph.Walk.transferproof · cited by 16
Cited by9
Results whose statement or proof uses this declaration.
- SimpleGraph.Connected.connected_delete_edge_of_not_isBridgeproof · cited by 2
- SimpleGraph.Walk.toDeleteEdgeproof · cited by 1
- SimpleGraph.Walk.exists_mem_edges_of_not_reachable_deleteEdgesproof · cited by 1
- SimpleGraph.Walk.IsPath.toDeleteEdgesstatement · cited by 0
- SimpleGraph.Walk.toDeleteEdges_consstatement · cited by 0
- SimpleGraph.Walk.toDeleteEdges_copystatement and proof · cited by 0
- SimpleGraph.Walk.toDeleteEdges_nilstatement · cited by 0
- SimpleGraph.Walk.map_toDeleteEdges_eqstatement and proof · cited by 0
- SimpleGraph.Walk.IsCycle.toDeleteEdgesstatement · cited by 0