Theorems · Theorem · order theory
Set.iInter_setOf
Deprecated since 2026-07-09Use Set.iInter_ofPred instead.
∀ {α : Type u_1} {ι : Sort u_5} (P : ι → α → Prop), ⋂ i, {x | P i x} = {x | ∀ (i : ι), P i x}Alias of Set.iInter_ofPred.
- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredstatement · cited by 6,101
- Set.iInterstatement · cited by 1,084
- Set.iInter_ofPredproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.