Theorems · Theorem · combinatorics
Prefunctor.IsCovering.map_injective
∀ {U : Type u_1} [inst : Quiver U] {V : Type u_2} [inst_1 : Quiver V] (φ : U ⥤q V),
φ.IsCovering → ∀ {u v : U}, Function.Injective fun f => φ.map f- Defined in
- Mathlib.Combinatorics.Quiver.Covering
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Prefunctor.objstatement and proof · cited by 1,241
- Prefunctor.mapstatement and proof · cited by 952
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Prefunctor.starproof · cited by 18
- Prefunctor.IsCoveringstatement and proof · cited by 11
- Quiver.Star.mkproof · cited by 7
- Prefunctor.IsCovering.star_bijectiveproof · cited by 6
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