Theorems · Theorem · order theory
Set.prod_univ
∀ {α : Type u_1} {β : Type u_2} {s : Set α}, s ×ˢ Set.univ = Prod.fst ⁻¹' s- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 14 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.inter_univproof · cited by 198
Cited by14
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.quasiMeasurePreserving_fstproof · cited by 12
- MeasureTheory.Measure.fst_map_prodMk₀proof · cited by 9
- Bundle.Pretrivialization.mem_targetproof · cited by 8
- MeasureTheory.Measure.fst_prodproof · cited by 3
- Filter.coprod_cocompactproof · cited by 1
- generateFrom_prod_eqproof · cited by 1
- isPathConnected_compl_of_isPathConnected_compl_zeroproof · cited by 1
- MeasureTheory.Measure.IsCondKernel.isProbabilityMeasureproof · cited by 1
- MeasureTheory.NullMeasurableSet.of_preimage_fstproof · cited by 1
- regionBetween_subsetproof · cited by 1
- prod_generateFrom_generateFrom_eqproof · cited by 0
- Filter.map_const_principal_coprod_map_id_principalproof · cited by 0