Mathlib Map

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

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Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • SetRelstatement and proof · cited by 581
  • RelHomproof · cited by 49

Cited by5

Results whose statement or proof uses this declaration.