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Theorems · Definition · logic and foundations

ZFSet.funs

ZFSet.{u} → ZFSet.{u} → ZFSet.{u}

funs x y is y ^ x, the set of all set functions x → y

Defined in
Mathlib.SetTheory.ZFC.Basic
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
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Around this declaration

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

ZFSet.mem_funs · cited by 0ZFSet.mem_funsZFSet · cited by 259ZFSetZFSet.powerset · cited by 11ZFSet.powersetZFSet.sep · cited by 8ZFSet.sepZFSet.prod · cited by 4ZFSet.prodZFSet.IsFunc · cited by 3ZFSet.IsFuncZFSet.funsCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.