Theorems · Theorem · order theory
Finset.inf_set_eq_iInter
∀ {α : Type u_2} {β : Type u_3} (s : Finset α) (f : α → Set β), s.inf f = ⋂ x ∈ s, f x- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Finsetstatement and proof · cited by 13,712
- Set.iInterstatement · cited by 1,084
- Finset.infstatement · cited by 219
- Finset.inf_eq_iInfproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.exists_lift_of_germInjective_auxproof · cited by 1
- Set.definable_biInter_finsetproof · cited by 1
- Set.definable_iInter_of_finiteproof · cited by 1