Theorems · Theorem · order theory
Set.univ_prod
∀ {α : Type u_1} {β : Type u_2} {t : Set β}, Set.univ ×ˢ t = Prod.snd ⁻¹' t- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 22 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.preimagestatement and proof · cited by 4,946
- Set.univstatement · cited by 3,945
- SProd.sprodstatement · cited by 1,750
- Set.univ_interproof · cited by 258
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.quasiMeasurePreserving_sndproof · cited by 15
- MeasureTheory.Measure.IicSnd_applyproof · cited by 5
- MeasureTheory.AEStronglyMeasurable.comp_snd_map_prodMkproof · cited by 3
- TopologicalSpace.IsSeparable.spanproof · cited by 3
- MeasureTheory.Measure.toSphere_apply'proof · cited by 3
- MeasureTheory.Measure.snd_map_prodMk₀proof · cited by 3
- generateFrom_prod_eqproof · cited by 1
- ProperSMul.isProperMap_smul_pair_setproof · cited by 1
- MeasureTheory.NullMeasurableSet.of_preimage_sndproof · cited by 1
- Filter.coprod_cocompactproof · cited by 1
- ProperVAdd.isProperMap_vadd_pair_setproof · cited by 1
- MeasureTheory.Measure.snd_prodproof · cited by 1