Theorems · Theorem · order theory
Set.iInter_eq_if
∀ {α : Type u_1} {p : Prop} [inst : Decidable p] (s : Set α), ⋂ (_ : p), s = if p then s else Set.univ- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Decidable
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Cites4
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.univstatement · cited by 3,945
- Set.iInterstatement · cited by 1,084
- iInf_eq_ifproof · cited by 3
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