Theorems · Theorem · combinatorics
SimpleGraph.Walk.transfer_append
∀ {V : Type u} {G : SimpleGraph V} {u v : V} (p : G.Walk u v) {H : SimpleGraph V} {w : V} (q : G.Walk v w)
(hpq : ∀ e ∈ (p.append q).edges, e ∈ H.edgeSet),
(p.append q).transfer H hpq = (p.transfer H ⋯).append (q.transfer H ⋯)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- SimpleGraph.Adjproof · cited by 1,346
- SimpleGraph.Walkstatement and proof · cited by 915
- Sym2statement and proof · cited by 737
- SimpleGraph.edgeSetstatement and proof · cited by 199
- SimpleGraph.Walk.edgesstatement and proof · cited by 145
- SimpleGraph.Walk.appendstatement and proof · cited by 95
- SimpleGraph.Walk.transferstatement and proof · cited by 16
- SimpleGraph.Walk.cons.congr_simpproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.Walk.reverse_transferproof · cited by 0