Theorems · Theorem · combinatorics
SimpleGraph.Walk.map_induce
∀ {V : Type u} {G : SimpleGraph V} {s : Set V} {u v : V} (w : G.Walk u v) (hw : ∀ x ∈ w.support, x ∈ s),
SimpleGraph.Walk.map (SimpleGraph.Embedding.induce s).toHom (SimpleGraph.Walk.induce s w hw) = w- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement · cited by 1,346
- SimpleGraph.Walkstatement and proof · cited by 915
- SimpleGraph.Walk.supportstatement and proof · cited by 307
- SimpleGraph.Homstatement · cited by 139
- SimpleGraph.inducestatement · cited by 80
- SimpleGraph.Walk.mapstatement · cited by 66
- SimpleGraph.Embedding.toHomstatement · cited by 17
- SimpleGraph.Walk.brecOnproof · cited by 15
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