Theorems · Theorem · general topology
Filter.prod_mono_right
∀ {α : Type u_1} {β : Type u_2} (f : Filter α) {g₁ g₂ : Filter β}, g₁ ≤ g₂ → f ×ˢ g₁ ≤ f ×ˢ g₂- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, 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.
- Filterstatement and proof · cited by 8,121
- SProd.sprodstatement · cited by 1,750
- Eq.leproof · cited by 605
- Filter.prod_monoproof · cited by 14
Cited by6
Results whose statement or proof uses this declaration.
- TendstoLocallyUniformlyOn.congr_inseparable_rightproof · cited by 4
- TendstoUniformlyOnFilter.mono_rightproof · cited by 3
- tendstoLocallyUniformlyOn_of_forall_exists_nhdsproof · cited by 3
- TendstoLocallyUniformlyOn.congr_inseparableproof · cited by 2
- nhdsSet_prod_le_of_disjoint_cocompactproof · cited by 1
- UniformCauchySeqOnFilter.mono_rightproof · cited by 1