Theorems · Theorem · general topology
Filter.tendsto_prod_swap
∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {g : Filter β}, Filter.Tendsto Prod.swap (f ×ˢ g) (g ×ˢ f)- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Filter.Tendstostatement · cited by 3,814
- SProd.sprodstatement · cited by 1,750
- Filter.Tendsto.prodMkproof · cited by 35
- Filter.tendsto_sndproof · cited by 30
- Filter.tendsto_fstproof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- UniformCauchySeqOnFilter.tendstoUniformlyOnFilter_of_tendstoproof · cited by 2