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Theorems · Theorem · order theory

Set.iUnion_comm

∀ {α : Type u_1} {ι : Sort u_5} {ι' : Sort u_6} (s : ι → ι' → Set α), ⋃ i, ⋃ i', s i i' = ⋃ i', ⋃ i, s i i'
Defined in
Mathlib.Data.Set.Lattice
Cited by
6 results in Mathlib
Foundations
Depth 60 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.biUnion_and' · cited by 14Set.biUnion_and'NFA.evalFrom_iUnion · cited by 2NFA.evalFrom_iUnionSet.biUnion_iUnion · cited by 2Set.biUnion_iUnionBoxIntegral.Prepartition.iUnion_ofWithBot · cited by 2Prepartition.iUnion_ofWit…convexJoin_iUnion_left · cited by 1convexJoin_iUnion_leftSet.biUnion_and · cited by 0Set.biUnion_andSet · cited by 53352SetSet.iUnion · cited by 2483Set.iUnioniSup_comm · cited by 17iSup_commSet.iUnion_commCITED BYCITES

Cites3

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

Cited by6

Results whose statement or proof uses this declaration.