Mathlib Map

Theorems · Definition · logic and foundations

ZFSet.sUnion

ZFSet.{u_1} → ZFSet.{u_1}

The union operator, the collection of elements of elements of a ZFC set. Uses ⋃₀ notation, scoped under the ZFSet namespace.

Defined in
Mathlib.SetTheory.ZFC.Basic
Cited by
15 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ZFSet.iUnion · cited by 10ZFSet.iUnionZFSet.mem_sUnion · cited by 8ZFSet.mem_sUnionZFSet.sInter · cited by 7ZFSet.sInterZFSet.mem_sUnion_of_mem · cited by 3ZFSet.mem_sUnion_of_memZFSet.IsTransitive.sUnion' · cited by 2IsTransitive.sUnion'ZFSet.sUnion_empty · cited by 1ZFSet.sUnion_emptyZFSet.sUnion_pair · cited by 1ZFSet.sUnion_pairZFSet.sUnion_singleton · cited by 1ZFSet.sUnion_singletonZFSet.singleton_injective · cited by 1ZFSet.singleton_injectiveZFSet.isTransitive_iff_sUnion_subset · cited by 1ZFSet.isTransitive_iff_sU…ZFSet.rank_sUnion_le · cited by 0ZFSet.rank_sUnion_leZFSet.IsTransitive.sUnion · cited by 0IsTransitive.sUnionZFSet.IsTransitive.sUnion_subset · cited by 0IsTransitive.sUnion_subsetClass.coe_sUnion · cited by 0Class.coe_sUnionZFSet.choice_isFunc · cited by 0ZFSet.choice_isFuncZFSet · cited by 259ZFSetQuotient.map · cited by 7Quotient.mapPSet.sUnion · cited by 5PSet.sUnionZFSet.sUnionCITED BYCITES

Cites3

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

Cited by18

Results whose statement or proof uses this declaration.