Theorems · Theorem · Lie groups
OpenSubgroup.coe_prod
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] {H : Type u_2} [inst_2 : Group H]
[inst_3 : TopologicalSpace H] (U : OpenSubgroup G) (V : OpenSubgroup H), ↑(U.prod V) = ↑U ×ˢ ↑V- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- SProd.sprodstatement · cited by 1,750
- OpenSubgroupstatement and proof · cited by 47
- OpenSubgroup.prodstatement · cited by 2
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