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Theorems · Definition · logic and foundations

ZFSet.Definable.out

{n : ℕ} → (f : (Fin n → ZFSet.{u}) → ZFSet.{u}) → [self : ZFSet.Definable n f] → (Fin n → PSet.{u}) → PSet.{u}

Turns a definable function into an n-ary PSet function.

Defined in
Mathlib.SetTheory.ZFC.Basic
Cited by
2 results in Mathlib
Foundations
Depth 16 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.out · cited by 3Definable₁.outZFSet.Definable.mk_out · cited by 3Definable.mk_outZFSet.Definable.out_equiv · cited by 2Definable.out_equivZFSet.Definable₂.out · cited by 2Definable₂.outZFSet · cited by 259ZFSetPSet · cited by 107PSetZFSet.Definable · cited by 2ZFSet.DefinableDefinable.outCITED BYCITES

Cites3

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

Cited by4

Results whose statement or proof uses this declaration.