Theorems · Theorem · combinatorics
SimpleGraph.IsCycles.reachable_deleteEdges
∀ {V : Type u_1} {G : SimpleGraph V} {v w : V} [Finite V],
G.Adj v w → G.IsCycles → (G.deleteEdges {s(v, w)}).Reachable v w- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SimpleGraphstatement and proof · cited by 3,072
- Finitestatement and proof · cited by 3,029
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Sym2statement · cited by 737
- Sym2.mkstatement and proof · cited by 332
- sup_of_le_leftproof · cited by 218
- SimpleGraph.Reachablestatement and proof · cited by 141
- SimpleGraph.deleteEdgesstatement and proof · cited by 64
- SimpleGraph.Walk.toSubgraphproof · cited by 49
- SimpleGraph.fromEdgeSetproof · cited by 43
- SimpleGraph.subgraphOfAdjproof · cited by 36
Cited by1
Results whose statement or proof uses this declaration.