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Theorems · Theorem · order theory

Set.image2_iUnion_right

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {ι : Sort u_5} (f : α → β → γ) (s : Set α) (t : ι → Set β),
  Set.image2 f s (⋃ i, t i) = ⋃ i, Set.image2 f s (t i)
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_right · cited by 7Set.image2_iUnion₂_rightLanguage.mul_iSup · cited by 2Language.mul_iSupSet.mul_iUnion · cited by 1Set.mul_iUnionSet.smul_iUnion · cited by 0Set.smul_iUnionSubmodule.map₂_iSup_right · cited by 0Submodule.map₂_iSup_rightSet.sub_iUnion · cited by 0Set.sub_iUnionSet.vsub_iUnion · cited by 0Set.vsub_iUnionSet.vadd_iUnion · cited by 0Set.vadd_iUnionSet.div_iUnion · cited by 0Set.div_iUnionSet.add_iUnion · cited by 0Set.add_iUnionSet · 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.prod_iUnion · cited by 8Set.prod_iUnionSet.image2_iUnion_rightCITED BYCITES

Cites7

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Cited by10

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