Theorems · Theorem · order theory

Set.image_subset_image2_right

∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {s : Set α} {t : Set β} {a : α},
  a ∈ s → f a '' t ⊆ Set.image2 f s t

Defined in: Mathlib.Data.Set.NAry
Cited by: 8 results in Mathlib
Foundations: Depth 8 from the axioms · uses propext, Quot.sound

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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 by8

Results whose statement or proof uses this declaration.

Set.smul_set_subset_smulproof · cited by 5
Set.vadd_set_subset_vaddproof · cited by 5
Bornology.IsVonNBounded.of_add_rightproof · cited by 3
Set.Infinite.image2_rightproof · cited by 1
Set.smul_set_subset_mulproof · cited by 1
Set.vadd_set_subset_addproof · cited by 1
Set.image_subset_infs_rightproof · cited by 0
Set.image_subset_sups_rightproof · cited by 0