Theorems · Theorem · order theory
Set.image2_iInter_subset_left
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {ι : Sort u_5} (f : α → β → γ) (s : ι → Set α) (t : Set β),
Set.image2 f (⋂ i, s i) t ⊆ ⋂ i, Set.image2 f (s i) t- Defined in
- Mathlib.Data.Set.Lattice.Image
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, 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.iInterstatement · cited by 1,084
- Set.image2statement · cited by 311
- Set.mem_image2_of_memproof · cited by 40
Cited by7
Results whose statement or proof uses this declaration.
- Set.iInter_div_subsetproof · cited by 0
- Set.iInter_add_subsetproof · cited by 0
- Set.iInter_vadd_subsetproof · cited by 0
- Set.iInter_vsub_subsetproof · cited by 0
- Set.iInter_mul_subsetproof · cited by 0
- Set.iInter_smul_subsetproof · cited by 0
- Set.iInter_sub_subsetproof · cited by 0