Theorems · Theorem · order theory
Set.eqOn_comp_right_iff
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {s : Set α} {f : α → β} {g₁ g₂ : β → γ},
Set.EqOn (g₁ ∘ f) (g₂ ∘ f) s ↔ Set.EqOn g₁ g₂ (f '' s)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.imagestatement · cited by 5,609
- Set.EqOnstatement · cited by 603
- Set.mapsTo_imageproof · cited by 71
- Set.surjOn_imageproof · cited by 15
- Set.SurjOn.cancel_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ODE_solution_unique_of_mem_Icc_leftproof · cited by 2