Theorems · Theorem · general topology
Filter.prod_mono_left
∀ {α : Type u_1} {β : Type u_2} (g : Filter β) {f₁ f₂ : Filter α}, f₁ ≤ f₂ → f₁ ×ˢ g ≤ f₂ ×ˢ g- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 5 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 by5
Results whose statement or proof uses this declaration.
- HasFDerivAt.hasFDerivWithinAtproof · cited by 34
- HasFDerivWithinAt.mono_of_mem_nhdsWithinproof · cited by 6
- prod_nhdsSet_le_of_disjoint_cocompactproof · cited by 1
- TendstoUniformlyOnFilter.mono_leftproof · cited by 0
- UniformCauchySeqOnFilter.mono_leftproof · cited by 0