Theorems · Theorem · order theory
Set.pi_inter_compl
∀ {ι : Type u_1} {α : ι → Type u_2} {t : (i : ι) → Set (α i)} (s : Set ι), s.pi t ∩ sᶜ.pi t = Set.univ.pi t- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, 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 and proof · cited by 53,352
- Set.univstatement · cited by 3,945
- Compl.complstatement · cited by 2,925
- Set.pistatement · cited by 405
Cited by3
Results whose statement or proof uses this declaration.
- Set.pi_univ_Ioc_update_leftproof · cited by 1
- Set.pi_univ_Ioc_update_rightproof · cited by 1
- isOpen_pi_iff'proof · cited by 0