Theorems · Theorem · general topology
prod_eq_generateFrom
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y],
instTopologicalSpaceProd = TopologicalSpace.generateFrom {g | ∃ s t, IsOpen s ∧ IsOpen t ∧ g = s ×ˢ t}- Defined in
- Mathlib.Topology.Constructions.SumProd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredstatement and proof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Set.univproof · cited by 3,945
- IsOpenstatement and proof · cited by 2,400
- le_antisymmproof · cited by 2,068
- SProd.sprodstatement and proof · cited by 1,750
- isOpen_univproof · cited by 112
- le_infproof · cited by 107
- TopologicalSpace.generateFromstatement · cited by 62
- IsOpen.prodproof · cited by 22
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