Theorems · Theorem · Lie groups
AddUnits.isInducing_embedProduct
∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : AddMonoid M], Topology.IsInducing ⇑(AddUnits.embedProduct M)- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceAddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddMonoidHomstatement · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddOppositestatement · cited by 452
- AddUnitsstatement · cited by 325
- Topology.IsInducingstatement · cited by 266
- AddUnits.embedProductstatement · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- AddUnits.continuous_iffproof · cited by 3
- AddUnits.isEmbedding_embedProductproof · cited by 2
- AddUnits.topology_eq_infproof · cited by 1
- Topology.IsInducing.addUnits_mapproof · cited by 0