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Theorems · Theorem · combinatorics

Quiver.Path.nil_comp

∀ {V : Type u} [inst : Quiver V] {a b : V} (p : Quiver.Path a b), Quiver.Path.nil.comp p = p
Defined in
Mathlib.Combinatorics.Quiver.Path
Cited by
3 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
Quiver
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Around this declaration

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

Quiver.Path.reverse_comp · cited by 2Path.reverse_compQuiver.FreeGroupoid.congr_reverse · cited by 0FreeGroupoid.congr_reverseQuiver.Path.comp_eq_nil_iff · cited by 0Path.comp_eq_nil_iffQuiver · cited by 405QuiverQuiver.Path · cited by 166Quiver.PathQuiver.Path.comp · cited by 45Path.compQuiver.Path.brecOn · cited by 10Path.brecOnPath.nil_compCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.