Theorems · Theorem · general topology
Filter.top_prod
∀ {α : Type u_1} {β : Type u_2} {g : Filter β}, ⊤ ×ˢ g = Filter.comap Prod.snd g- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 2 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Filterstatement and proof · cited by 8,121
- SProd.sprodstatement · cited by 1,750
- Filter.comapstatement and proof · cited by 546
- top_inf_eqproof · cited by 30
- Filter.comap_topproof · cited by 5
- Filter.prod_eq_infproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- exists_fun_of_mem_tangentConeAtproof · cited by 9
- Filter.coprod_eq_prod_top_sup_top_prodproof · cited by 3