Theorems · Definition · combinatorics
SimpleGraph.Walk.boxProdLeft
{α : Type u_1} →
{β : Type u_2} →
{G : SimpleGraph α} → (H : SimpleGraph β) → {a₁ a₂ : α} → (b : β) → G.Walk a₁ a₂ → (G □ H).Walk (a₁, b) (a₂, b)Turn a walk on G into a walk on G □ H.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Prod
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Walkstatement · cited by 915
- SimpleGraph.Walk.mapproof · cited by 66
- SimpleGraph.boxProdstatement · cited by 31
- SimpleGraph.Embedding.toHomproof · cited by 17
- SimpleGraph.boxProdLeftproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.Preconnected.boxProdproof · cited by 1
- SimpleGraph.Walk.ofBoxProdLeft_boxProdLeftstatement · cited by 0
- SimpleGraph.reachable_boxProdproof · cited by 0
- SimpleGraph.edist_boxProdproof · cited by 0