Theorems · Theorem · general topology
Filter.zero_prod
∀ {α : Type u_2} {β : Type u_3} [inst : Zero α] {l : Filter β}, 0 ×ˢ l = Filter.map (fun x => (0, x)) l- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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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
- Filter.mapstatement · cited by 819
- Filter.pure_prodproof · cited by 10
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