Theorems · Theorem · order theory
Set.univ_prod_univ
∀ {α : Type u_1} {β : Type u_2}, Set.univ ×ˢ Set.univ = Set.univ- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 6 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.univstatement and proof · cited by 3,945
- Set.extproof · cited by 2,266
- SProd.sprodstatement · cited by 1,750
Cited by32
Results whose statement or proof uses this declaration.
- HasFPowerSeriesAt.hasStrictFDerivAtproof · cited by 7
- tangentBundle_model_space_chartAtproof · cited by 4
- uniformContinuousOn_univproof · cited by 4
- NumberField.mixedEmbedding.polarCoordReal_symm_target_ae_eq_univproof · cited by 2
- uniformEquicontinuousOn_univproof · cited by 2
- ContDiffAt.prodMapproof · cited by 2
- Set.image2_rangeproof · cited by 2
- MeasureTheory.FiniteMeasure.mass_prodproof · cited by 2
- ProbabilityTheory.Kernel.tendsto_integral_density_of_monotoneproof · cited by 2
- range_toPullbackDiagproof · cited by 2
- ContMDiffAt.mfderivproof · cited by 2
- PartialEquiv.refl_prod_reflproof · cited by 2