Theorems · Definition · order theory
SetRel.Hom
{α : Type u_1} → {β : Type u_2} → SetRel α α → SetRel β β → Type (max u_1 u_2)A relation homomorphism with respect to a given pair of relations R and S s is a function
f : α → β such that a ~[R] b → f a ~[s] f b.
- Defined in
- Mathlib.Data.Rel
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by5
Results whose statement or proof uses this declaration.
- RelSeries.mapstatement and proof · cited by 6
- RelSeries.map_lengthstatement and proof · cited by 1
- RelSeries.map_applystatement and proof · cited by 0
- RelSeries.last_mapstatement and proof · cited by 0
- RelSeries.head_mapstatement and proof · cited by 0