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Theorems · Theorem · order theory

Set.snd_image_prod

∀ {α : Type u_1} {β : Type u_2} {s : Set α}, s.Nonempty → ∀ (t : Set β), Prod.snd '' s ×ˢ t = t
Defined in
Mathlib.Data.Set.Prod
Cited by
7 results in Mathlib
Foundations
Depth 57 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.

Set.prod_subset_prod_iff · cited by 15Set.prod_subset_prod_iffSet.prod_eq_prod_iff_of_nonempty · cited by 2Set.prod_eq_prod_iff_of_n…Bornology.IsBounded.snd_of_prod · cited by 1IsBounded.snd_of_prodsInf_prod · cited by 0sInf_prodIdeal.span_prod · cited by 0Ideal.span_prodisOpen_prod_iff' · cited by 0isOpen_prod_iff'sSup_prod · cited by 0sSup_prodSet · cited by 53352SetSet.image · cited by 5609Set.imageSet.Nonempty · cited by 2627Set.NonemptySProd.sprod · cited by 1750SProd.sprodLE.le.antisymm · cited by 507le.antisymmSet.snd_image_prod_subset · cited by 5Set.snd_image_prod_subsetSet.snd_image_prodCITED BYCITES

Cites6

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Cited by7

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