Theorems · Theorem · combinatorics
SimpleGraph.Walk.getVert_takeUntil
∀ {V : Type u} {G : SimpleGraph V} {w : V} [inst : DecidableEq V] {u v : V} {n : ℕ} {p : G.Walk u v}
(hw : w ∈ p.support), n ≤ (p.takeUntil w hw).length → (p.takeUntil w hw).getVert n = p.getVert n- Cited by
- 4 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 915
- SimpleGraph.Walk.supportstatement and proof · cited by 307
- SimpleGraph.Walk.lengthstatement and proof · cited by 212
- SimpleGraph.Walk.getVertstatement and proof · cited by 114
- SimpleGraph.Walk.takeUntilstatement and proof · cited by 58
- LE.le.lt_or_eqproof · cited by 48
- SimpleGraph.Walk.getVert_zeroproof · cited by 43
- SimpleGraph.Walk.dropUntilproof · cited by 38
- SimpleGraph.Walk.take_specproof · cited by 18
- SimpleGraph.Walk.getVert_lengthproof · cited by 11
- SimpleGraph.Walk.getVert_appendproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.Walk.length_takeUntil_lt_lengthproof · cited by 4
- SimpleGraph.Walk.snd_takeUntilproof · cited by 1
- SimpleGraph.Walk.endpoint_notMem_support_takeUntilproof · cited by 1
- SimpleGraph.Walk.getVert_lt_length_takeUntil_neproof · cited by 0