Theorems · Theorem · order theory
Set.univ_pi_eq_iInter
∀ {α : Type u_1} {π : α → Type u_12} (t : (i : α) → Set (π i)), Set.univ.pi t = ⋂ i, Function.eval i ⁻¹' t i- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 4,946
- Set.univstatement and proof · cited by 3,945
- Set.iInterstatement and proof · cited by 1,084
- Set.pistatement · cited by 405
- Set.iInter_congr_Propproof · cited by 170
- Function.evalstatement and proof · cited by 140
- Set.iInter_trueproof · cited by 17
- Set.pi_defproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- generateFrom_pi_eqproof · cited by 1
- stdSimplex_subset_Iccproof · cited by 1