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Theorems · Theorem · order theory

Set.eval_image_univ_pi

∀ {ι : Type u_1} {α : ι → Type u_2} {t : (i : ι) → Set (α i)} {i : ι},
  (Set.univ.pi t).Nonempty → (fun f => f i) '' Set.univ.pi t = t i
Defined in
Mathlib.Data.Set.Prod
Cited by
4 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

MeasureTheory.piPremeasure_pi · cited by 2MeasureTheory.piPremeasur…MeasureTheory.piPremeasure_pi' · cited by 1MeasureTheory.piPremeasur…Bornology.isBounded_pi_of_nonempty · cited by 1Bornology.isBounded_pi_of…isConnected_univ_pi · cited by 0isConnected_univ_piSet · cited by 53352SetSet.image · cited by 5609Set.imageSet.univ · cited by 3945Set.univSet.Nonempty · cited by 2627Set.NonemptySet.mem_univ · cited by 416Set.mem_univSet.pi · cited by 405Set.piSet.eval_image_pi · cited by 4Set.eval_image_piSet.eval_image_univ_piCITED BYCITES

Cites7

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Cited by4

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