Mathlib Map

Theorems · Definition · logic and foundations

ZFSet.sInter

ZFSet.{u_1} → ZFSet.{u_1}

The intersection operator, the collection of elements in all of the elements of a ZFC set. We define ⋂₀ ∅ = ∅. Uses ⋂₀ notation, scoped under the ZFSet namespace.

Defined in
Mathlib.SetTheory.ZFC.Basic
Cited by
7 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ZFSet.mem_sInter · cited by 4ZFSet.mem_sInterZFSet.mem_of_mem_sInter · cited by 1ZFSet.mem_of_mem_sInterClass.coe_sInter · cited by 0Class.coe_sInterZFSet.notMem_sInter_of_notMem · cited by 0ZFSet.notMem_sInter_of_no…ZFSet.sInter_empty · cited by 0ZFSet.sInter_emptyZFSet.sInter_singleton · cited by 0ZFSet.sInter_singletonZFSet.coe_sInter · cited by 0ZFSet.coe_sInterZFSet · cited by 259ZFSetZFSet.sUnion · cited by 15ZFSet.sUnionZFSet.sep · cited by 8ZFSet.sepZFSet.sInterCITED BYCITES

Cites3

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

Cited by7

Results whose statement or proof uses this declaration.