Theorems · Definition · logic and foundations
Set.EqOn
{α : Type u} → {β : Type v} → (α → β) → (α → β) → Set α → PropTwo functions f₁ f₂ : α → β are equal on s if f₁ x = f₂ x for all x ∈ s.
- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 603 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 8 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
Cited by632
Results whose statement or proof uses this declaration.
- Set.EqOn.symmstatement and proof · cited by 41
- MeasureTheory.setIntegral_congr_funstatement and proof · cited by 35
- MeasureTheory.setLIntegral_congr_funstatement and proof · cited by 31
- ContinuousOn.congrstatement and proof · cited by 27
- Set.EqOn.monostatement and proof · cited by 26
- Filter.eventuallyEq_of_memstatement and proof · cited by 25
- cfcₙ_congrstatement and proof · cited by 25
- IsLocalDiffeomorphAtproof · cited by 23
- cfc_congrstatement and proof · cited by 20
- Filter.eventuallyEq_iff_exists_memstatement · cited by 19
- intervalIntegral.integral_congrstatement and proof · cited by 18
- Set.EqOn.image_eqstatement and proof · cited by 16
Showing the 200 most cited of 632.