Mathlib Map

Theorems · Theorem · order theory

Set.image_sUnion

∀ {α : Type u_1} {β : Type u_2} {f : α → β} {s : Set (Set α)}, f '' ⋃₀ s = ⋃₀ (Set.image f '' s)
Defined in
Mathlib.Data.Set.Lattice.Image
Cited by
5 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MvPolynomial.isOpenMap_comap_C · cited by 1MvPolynomial.isOpenMap_co…Topology.IsInducing.isMeagre_image · cited by 1IsInducing.isMeagre_imageSet.image_sSup · cited by 0Set.image_sSupSet.image_val_sUnion · cited by 0Set.image_val_sUnionPolynomial.isOpenMap_comap_C · cited by 0Polynomial.isOpenMap_coma…Set · cited by 53352SetSet.image · cited by 5609Set.imageSet.ext · cited by 2266Set.extSet.sUnion · cited by 392Set.sUnionSet.sUnion_image · cited by 28Set.sUnion_imageSet.image_sUnionCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.