Theorems · Theorem · order theory
Set.prod_mono_right
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t₁ t₂ : Set β}, t₁ ⊆ t₂ → s ×ˢ t₁ ⊆ s ×ˢ t₂- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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
- SProd.sprodstatement · cited by 1,750
- Set.Subset.rflproof · cited by 255
- Set.prod_monoproof · cited by 52
Cited by11
Results whose statement or proof uses this declaration.
- ContMDiffWithinAt.mfderivWithinproof · cited by 3
- ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRatproof · cited by 2
- continuousOn_integral_bilinear_of_locally_integrable_of_compact_supportproof · cited by 2
- MeasureTheory.Measure.iInf_rat_gt_prod_Iicproof · cited by 2
- nhdsSet_prod_le_of_disjoint_cocompactproof · cited by 1
- ProbabilityTheory.Kernel.tendsto_densityProcess_atTop_empty_of_antitoneproof · cited by 1
- Complex.norm_circleTransformBoundingFunction_leproof · cited by 1
- Ideal.prod_mono_rightproof · cited by 0
- Set.prod_subset_prod_rightproof · cited by 0
- UpperSet.prod_mono_rightproof · cited by 0
- LowerSet.prod_mono_rightproof · cited by 0