Mathlib Map

Theorems · Theorem · order theory

Set.eqOn_union

∀ {α : Type u_1} {β : Type u_2} {s₁ s₂ : Set α} {f₁ f₂ : α → β},
  Set.EqOn f₁ f₂ (s₁ ∪ s₂) ↔ Set.EqOn f₁ f₂ s₁ ∧ Set.EqOn f₁ f₂ s₂
Defined in
Mathlib.Data.Set.Function
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Monoid.Coprod.hom_ext · cited by 14Coprod.hom_extAddMonoid.Coprod.hom_ext · cited by 12Coprod.hom_extSet.EqOn.union · cited by 1EqOn.unionSet · cited by 53352SetSet.EqOn · cited by 603Set.EqOnforall₂_or_left · cited by 2forall₂_or_leftSet.eqOn_unionCITED BYCITES

Cites3

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

Cited by3

Results whose statement or proof uses this declaration.