Theorems · Theorem · order theory
Set.EqOn.injOn_iff
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f₁ f₂ : α → β}, Set.EqOn f₁ f₂ s → (Set.InjOn f₁ s ↔ Set.InjOn f₂ s)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Set.EqOnstatement and proof · cited by 603
- Set.InjOnstatement and proof · cited by 543
- Set.EqOn.symmproof · cited by 41
- Set.InjOn.congrproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IsLocalHomeomorph.injOn_localInverseAt_targetproof · cited by 1
- Set.injective_piecewise_iffproof · cited by 1