Theorems · Definition · combinatorics
Prefunctor.IsCovering.casesOn
{U : Type u_1} →
[inst : Quiver U] →
{V : Type u_2} →
[inst_1 : Quiver V] →
{φ : U ⥤q V} →
{motive : φ.IsCovering → Sort u_3} →
(t : φ.IsCovering) →
((star_bijective : ∀ (u : U), Function.Bijective (φ.star u)) →
(costar_bijective : ∀ (u : U), Function.Bijective (φ.costar u)) → motive ⋯) →
motive t- Defined in
- Mathlib.Combinatorics.Quiver.Covering
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Prefunctor.objstatement · cited by 1,241
- Function.Bijectivestatement and proof · cited by 863
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Quiver.Starstatement · cited by 22
- Quiver.Costarstatement · cited by 19
- Prefunctor.starstatement and proof · cited by 18
- Prefunctor.costarstatement and proof · cited by 14
- Prefunctor.IsCoveringstatement and proof · cited by 11
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