Theorems · Theorem · order theory
Set.eqOn_range
∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_7} {f : ι → α} {g₁ g₂ : α → β},
Set.EqOn g₁ g₂ (Set.range f) ↔ g₁ ∘ f = g₂ ∘ f- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangestatement · cited by 4,705
- Set.EqOnstatement · cited by 603
- Set.forall_mem_rangeproof · cited by 135
Cited by4
Results whose statement or proof uses this declaration.
- Monoid.Coprod.hom_extproof · cited by 14
- AddMonoid.Coprod.hom_extproof · cited by 12
- Set.EqOn.comp_eqproof · cited by 1
- WeakDual.exists_countable_separatingproof · cited by 1