Theorems · Theorem · order theory
Set.pi_univ
∀ {ι : Type u_1} {α : ι → Type u_2} (s : Set ι), (s.pi fun i => Set.univ) = Set.univ- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, 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
- Set.univstatement · cited by 3,945
- Set.mem_univproof · cited by 416
- Set.pistatement · cited by 405
- Set.eq_univ_of_forallproof · cited by 80
Cited by14
Results whose statement or proof uses this declaration.
- Set.univ_pi_piecewise_univproof · cited by 5
- Set.range_piMapproof · cited by 3
- NumberField.mixedEmbedding.fundamentalCone.expMap_sourceproof · cited by 3
- pi_polarCoord_symm_target_ae_eq_univproof · cited by 3
- Set.univ_pi_update_univproof · cited by 2
- dense_piproof · cited by 2
- MeasureTheory.Measure.pi_univproof · cited by 1
- Measure.ext_of_lintegral_prod_mul_prod_boundedContinuousFunctionproof · cited by 1
- Subalgebra.pi_topproof · cited by 0
- IsCountablySpanning.piproof · cited by 0
- PartialEquiv.pi_reflproof · cited by 0
- Filter.pi_eq_botproof · cited by 0