Theorems · Theorem · combinatorics
Prefunctor.IsCovering.of_comp_left
∀ {U : Type u_1} [inst : Quiver U] {V : Type u_2} [inst_1 : Quiver V] (φ : U ⥤q V) {W : Type u_3} [inst_2 : Quiver W]
(ψ : V ⥤q W), φ.IsCovering → (φ ⋙q ψ).IsCovering → Function.Surjective φ.obj → ψ.IsCovering- Defined in
- Mathlib.Combinatorics.Quiver.Covering
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- Foundations
- Depth 9 from the axioms · uses no axioms
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Prefunctor.objstatement and proof · cited by 1,241
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Prefunctor.compstatement and proof · cited by 35
- Function.Bijective.of_comp_iffproof · cited by 22
- Prefunctor.starproof · cited by 18
- Prefunctor.costarproof · cited by 14
- Prefunctor.IsCoveringstatement and proof · cited by 11
- Prefunctor.IsCovering.star_bijectiveproof · cited by 6
- Prefunctor.IsCovering.costar_bijectiveproof · cited by 4
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