Theorems · Definition · logic and foundations
Set.image2
{α : Type u} → {β : Type v} → {γ : Type w} → (α → β → γ) → Set α → Set β → Set γThe image of a binary function f : α → β → γ as a function Set α → Set β → Set γ.
Mathematically this should be thought of as the image of the corresponding function α × β → γ.
- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 311 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 11 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.ofPredproof · cited by 6,101
Cited by325
Results whose statement or proof uses this declaration.
- Set.addproof · cited by 338
- Set.mulproof · cited by 297
- Set.subproof · cited by 136
- Set.divproof · cited by 112
- Set.smulproof · cited by 110
- Set.vaddproof · cited by 72
- Filter.map₂proof · cited by 61
- Finset.coe_image₂statement · cited by 55
- Set.hasSupsproof · cited by 43
- Set.hasInfsproof · cited by 43
- Set.mem_image2_of_memstatement · cited by 40
- omegaLimitproof · cited by 33
Showing the 200 most cited of 325.