Theorems · Theorem · combinatorics
Quiver.eq_nil_of_length_zero
∀ {U : Type u_1} [inst : Quiver U] {u v : U} (p : Quiver.Path u v) (hzero : p.length = 0),
Quiver.Path.cast ⋯ ⋯ p = Quiver.Path.nil- Defined in
- Mathlib.Combinatorics.Quiver.Cast
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- Quiver
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.lengthstatement and proof · cited by 39
- Quiver.Path.casesOnproof · cited by 12
- Quiver.Path.caststatement and proof · cited by 12
- Quiver.Path.eq_of_length_zerostatement and proof · cited by 5
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