Theorems · Theorem · order theory
Set.image_subset_image2_left
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {s : Set α} {t : Set β} {b : β},
b ∈ t → (fun a => f a b) '' s ⊆ Set.image2 f s t- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.image2statement · cited by 311
- Set.forall_mem_imageproof · cited by 65
- Set.mem_image2_of_memproof · cited by 40
Cited by5
Results whose statement or proof uses this declaration.
- Set.Infinite.image2_leftproof · cited by 1
- Set.op_vadd_set_subset_addproof · cited by 0
- Set.image_subset_infs_leftproof · cited by 0
- Set.image_subset_sups_leftproof · cited by 0
- Set.op_smul_set_subset_mulproof · cited by 0