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Theorems · Theorem · order theory

Set.uniqueElim_preimage

∀ {ι : Type u_1} {α : ι → Type u_2} [inst : Unique ι] (t : (i : ι) → Set (α i)),
  uniqueElim ⁻¹' Set.univ.pi t = t default
Defined in
Mathlib.Data.Set.Prod
Cited by
0 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext, Quot.sound
Assumes
Unique

Around this declaration

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Cites7

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

  • Setstatement and proof · cited by 53,352
  • Set.preimagestatement · cited by 4,946
  • Set.univstatement · cited by 3,945
  • Set.extproof · cited by 2,266
  • Set.pistatement · cited by 405
  • Uniquestatement and proof · cited by 400
  • uniqueElimstatement and proof · cited by 29

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