Theorems · Theorem · Lie groups
Units.isEmbedding_embedProduct
∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Monoid M], Topology.IsEmbedding ⇑(Units.embedProduct M)- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- MulOppositestatement · cited by 1,135
- Topology.IsEmbeddingstatement · cited by 294
- Units.embedProductstatement · cited by 12
- Units.isInducing_embedProductproof · cited by 4
- Units.embedProduct_injectiveproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Units.isClosedEmbedding_embedProductproof · cited by 2
- Topology.IsEmbedding.units_mapproof · cited by 1
- Topology.IsClosedEmbedding.units_mapproof · cited by 1