Theorems · Theorem · combinatorics
SimpleGraph.Walk.support_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.induce s w hw).support = w.support.attachWith (Membership.mem s) hw- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Walkstatement and proof · cited by 915
- SimpleGraph.Walk.supportstatement and proof · cited by 307
- SimpleGraph.inducestatement · cited by 80
- SimpleGraph.Walk.brecOnproof · cited by 15
- SimpleGraph.Walk.inducestatement · cited by 9
- SimpleGraph.Walk.start_mem_supportstatement · cited by 9
- SimpleGraph.Walk.end_mem_supportstatement · cited by 8
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