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Theorems · Theorem · order theory

Set.image2_iUnion_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
10 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.image2_iUnion₂_left · cited by 7Set.image2_iUnion₂_leftSet.iUnion_mul · cited by 2Set.iUnion_mulLanguage.iSup_mul · cited by 2Language.iSup_mulSet.iUnion_add · cited by 2Set.iUnion_addSet.iUnion_div · cited by 0Set.iUnion_divSubmodule.map₂_iSup_left · cited by 0Submodule.map₂_iSup_leftSet.iUnion_vadd · cited by 0Set.iUnion_vaddSet.iUnion_smul · cited by 0Set.iUnion_smulSet.iUnion_vsub · cited by 0Set.iUnion_vsubSet.iUnion_sub · cited by 0Set.iUnion_subSet · cited by 53352SetSet.image · cited by 5609Set.imageSet.iUnion · cited by 2483Set.iUnionSProd.sprod · cited by 1750SProd.sprodSet.image2 · cited by 311Set.image2Set.image_iUnion · cited by 41Set.image_iUnionSet.iUnion_prod_const · cited by 6Set.iUnion_prod_constSet.image2_iUnion_leftCITED BYCITES

Cites7

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Cited by10

Results whose statement or proof uses this declaration.