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Theorems · Theorem · combinatorics

Quiver.Path.vertices_comp

∀ {V : Type u_1} [inst : Quiver V] {a b c : V} (p : Quiver.Path a b) (q : Quiver.Path b c),
  (p.comp q).vertices = p.vertices.dropLast ++ q.vertices
Defined in
Mathlib.Combinatorics.Quiver.Path.Vertices
Cited by
2 results in Mathlib
Foundations
Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Quiver
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.Path.exists_eq_comp_and_length_eq_of_lt_length · cited by 1Path.exists_eq_comp_and_l…Quiver.Path.vertices_comp_get_length_eq · cited by 0Path.vertices_comp_get_le…Quiver.Hom · cited by 32603Quiver.HomQuiver · cited by 405QuiverQuiver.Path · cited by 166Quiver.PathQuiver.Path.comp · cited by 45Path.compQuiver.Path.vertices · cited by 21Path.verticesQuiver.Path.dropLast_append_end_eq · cited by 1Path.dropLast_append_end_…Path.vertices_compCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.