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Theorems · Definition · logic and foundations

ZFSet.powerset

ZFSet.{u_1} → ZFSet.{u_1}

The powerset operation, the collection of subsets of a ZFC set

Defined in
Mathlib.SetTheory.ZFC.Basic
Cited by
11 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
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Around this declaration

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

ZFSet.vonNeumann · cited by 25ZFSet.vonNeumannZFSet.mem_powerset · cited by 5ZFSet.mem_powersetZFSet.vonNeumann_add_one · cited by 2ZFSet.vonNeumann_add_oneZFSet.funs · cited by 1ZFSet.funsZFSet.rank_powerset · cited by 1ZFSet.rank_powersetZFSet.IsTransitive.powerset · cited by 1IsTransitive.powersetZFSet.card_powerset · cited by 1ZFSet.card_powersetZFSet.pairSep · cited by 1ZFSet.pairSepZFSet.isTransitive_iff_subset_powerset · cited by 1ZFSet.isTransitive_iff_su…ZFSet.isTransitive_vonNeumann · cited by 1ZFSet.isTransitive_vonNeu…ZFSet.powersetEquiv · cited by 1ZFSet.powersetEquivClass.coe_powerset · cited by 0Class.coe_powersetZFSet.IsTransitive.subset_powerset · cited by 0IsTransitive.subset_power…ZFSet.vonNeumann.eq_def · cited by 0vonNeumann.eq_defZFSet.vonNeumann_succ · cited by 0ZFSet.vonNeumann_succZFSet · cited by 259ZFSetQuotient.map · cited by 7Quotient.mapPSet.powerset · cited by 2PSet.powersetZFSet.powersetCITED BYCITES

Cites3

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

Cited by15

Results whose statement or proof uses this declaration.