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ZFSet.Definable.mk_out

∀ {n : ℕ} {f : (Fin n → ZFSet.{u}) → ZFSet.{u}} [self : ZFSet.Definable n f] (xs : Fin n → PSet.{u}),
  ZFSet.mk (ZFSet.Definable.out f xs) = f fun x => ZFSet.mk (xs x)

A set function f is the image of Definable.out f.

Defined in
Mathlib.SetTheory.ZFC.Basic
Cited by
3 results in Mathlib
Foundations
Depth 17 from the axioms · uses no axioms
Assumes
ZFSet.Definable
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Around this declaration

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

ZFSet.Definable₁.mk_out · cited by 2Definable₁.mk_outZFSet.Definable.out_equiv · cited by 2Definable.out_equivZFSet.Definable₂.mk_out · cited by 0Definable₂.mk_outZFSet · cited by 259ZFSetPSet · cited by 107PSetZFSet.mk · cited by 17ZFSet.mkZFSet.Definable.out · cited by 2Definable.outZFSet.Definable · cited by 2ZFSet.DefinableDefinable.mk_outCITED BYCITES

Cites5

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Cited by3

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