Theorems · Theorem · combinatorics
SimpleGraph.Walk.map_append
∀ {V : Type u} {V' : Type v} {G : SimpleGraph V} {G' : SimpleGraph V'} (f : G →g G') {u v w : V} (p : G.Walk u v)
(q : G.Walk v w), SimpleGraph.Walk.map f (p.append q) = (SimpleGraph.Walk.map f p).append (SimpleGraph.Walk.map f q)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement and proof · cited by 1,346
- SimpleGraph.Walkstatement and proof · cited by 915
- SimpleGraph.Homstatement and proof · cited by 139
- SimpleGraph.Walk.appendstatement and proof · cited by 95
- SimpleGraph.Walk.mapstatement and proof · cited by 66
- SimpleGraph.Hom.map_adjproof · cited by 21
- SimpleGraph.Walk.cons.congr_simpproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.Walk.reverse_mapproof · cited by 1
- SimpleGraph.Walk.mapLe_appendproof · cited by 0