Theorems · Theorem · order theory
Set.image2_subset_left
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {s : Set α} {t t' : Set β},
t ⊆ t' → Set.image2 f s t ⊆ Set.image2 f s t'- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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.image2statement · cited by 311
- Set.Subset.rflproof · cited by 255
- Set.image2_subsetproof · cited by 25
Cited by12
Results whose statement or proof uses this declaration.
- Set.image2_inter_subset_rightproof · cited by 11
- Set.mul_subset_mul_leftproof · cited by 7
- Set.add_subset_add_leftproof · cited by 7
- Set.smul_subset_smul_leftproof · cited by 4
- Set.div_subset_div_leftproof · cited by 2
- Set.vadd_subset_vadd_leftproof · cited by 2
- Set.sub_subset_sub_leftproof · cited by 2
- Filter.map₂_distrib_le_rightproof · cited by 1
- Set.vsub_subset_vsub_leftproof · cited by 0
- Set.sups_subset_leftproof · cited by 0
- Set.sdiv_subset_sdiv_leftproof · cited by 0
- Set.infs_subset_leftproof · cited by 0