Theorems · Theorem · Lie groups
Units.isClosedEmbedding_embedProduct
∀ {α : Type u} [inst : Monoid α] [inst_1 : TopologicalSpace α] [T1Space α] [ContinuousMul α],
Topology.IsClosedEmbedding ⇑(Units.embedProduct α)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- IsClosedproof · cited by 1,639
- MulOppositestatement and proof · cited by 1,135
- ContinuousMulstatement and proof · cited by 343
- continuous_id'proof · cited by 295
- Topology.IsEmbeddingproof · cited by 294
- T1Spacestatement and proof · cited by 275
Cited by2
Results whose statement or proof uses this declaration.
- Topology.IsClosedEmbedding.units_mapproof · cited by 1
- Submonoid.units_isCompactproof · cited by 0