Theorems · Theorem · order theory
Set.image2_image_left
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {δ : Type u_7} {s : Set α} {t : Set β} (f : γ → β → δ) (g : α → γ),
Set.image2 f (g '' s) t = Set.image2 (fun a b => f (g a) b) s t- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 17 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 by17
Results whose statement or proof uses this declaration.
- Set.image_image2_distribproof · cited by 12
- omegaLimit_subset_of_tendstoproof · cited by 3
- MeasureTheory.Measure.toSphere_apply_auxproof · cited by 2
- TopologicalSpace.IsTopologicalBasis.inf_inducedproof · cited by 2
- Set.image_op_smulproof · cited by 2
- Set.image_op_vaddproof · cited by 2
- LinearMap.coprod_map_prodproof · cited by 2
- Set.image2_rangeproof · cited by 2
- Set.image_seqproof · cited by 1
- Set.prod_eq_seqproof · cited by 1
- Finset.image₂_image_leftproof · cited by 1
- Set.seq_seqproof · cited by 1