Theorems · Definition · logic and foundations
ZFSet.range
{α : Type u_1} → [Small.{u, u_1} α] → (α → ZFSet.{u}) → ZFSet.{u}The range of a type-indexed family of sets.
- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Classical.choice, Quot.sound
- Assumes
- Small
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equiv.symmproof · cited by 3,681
- Smallstatement and proof · cited by 369
- ZFSetstatement and proof · cited by 259
- Quotient.outproof · cited by 141
- Shrinkproof · cited by 132
- equivShrinkproof · cited by 118
Cited by7
Results whose statement or proof uses this declaration.
- ZFSet.iUnionproof · cited by 10
- ZFSet.range.congr_simpstatement and proof · cited by 0
- ZFSet.rank_rangestatement and proof · cited by 0
- ZFSet.mem_rangestatement and proof · cited by 0
- ZFSet.coe_rangestatement · cited by 0
- ZFSet.mem_range_selfstatement · cited by 0
- ZFSet.lift_card_range_lestatement and proof · cited by 0