Theorems · Theorem · order theory
Set.image2_swap
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} (f : α → β → γ) (s : Set α) (t : Set β),
Set.image2 f s t = Set.image2 (fun a b => f b a) t s- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
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.image2statement · cited by 311
Cited by17
Results whose statement or proof uses this declaration.
- Set.iUnion_image_rightproof · cited by 15
- Set.image2_union_rightproof · cited by 13
- Set.image_image2_antidistribproof · cited by 4
- Set.image2_commproof · cited by 4
- Set.image2_left_commproof · cited by 3
- Set.image2_right_commproof · cited by 3
- Finset.image₂_swapproof · cited by 3
- MeasureTheory.Measure.toSphere_apply_auxproof · cited by 2
- Submodule.map₂_flipproof · cited by 2
- Set.image_op_smulproof · cited by 2
- Set.image_op_vaddproof · cited by 2
- PointedCone.minTensorProduct_commproof · cited by 1