Theorems · Theorem · order theory
Set.image2_image_right
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {δ : Type u_7} {s : Set α} {t : Set β} (f : α → γ → δ) (g : β → γ),
Set.image2 f s (g '' t) = Set.image2 (fun a b => f a (g b)) s t- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.extproof · cited by 2,266
- Set.image2statement · cited by 311
Cited by11
Results whose statement or proof uses this declaration.
- Set.image_image2_distribproof · cited by 12
- ContinuousMap.isInducing_postcompproof · cited by 2
- TopologicalSpace.IsTopologicalBasis.inf_inducedproof · cited by 2
- LinearMap.coprod_map_prodproof · cited by 2
- Set.image2_rangeproof · cited by 2
- MeasureTheory.Measure.toSphere_apply_auxproof · cited by 2
- omegaLimit_image_eqproof · cited by 1
- Finset.image₂_image_rightproof · cited by 1
- Set.star_mulproof · cited by 0
- Set.star_addproof · cited by 0
- Language.reverse_mulproof · cited by 0