Theorems · Theorem · Lie groups
Matrix.SpecialLinearGroup.isEmbedding_mapGL
∀ {n : Type u_1} {R : Type u_2} {S : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R]
[inst_3 : TopologicalSpace R] [inst_4 : CommRing S] [inst_5 : TopologicalSpace S] [inst_6 : Algebra R S]
[IsTopologicalRing S],
Topology.IsEmbedding ⇑(algebraMap R S) → Topology.IsEmbedding ⇑(Matrix.SpecialLinearGroup.mapGL S)- Defined in
- Mathlib.Topology.Algebra.Group.Matrix
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
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
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Algebra.algebraMapstatement and proof · cited by 4,706
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- Matrix.GeneralLinearGroupstatement · cited by 556
- IsTopologicalRingstatement and proof · cited by 402
- Matrix.SpecialLinearGroupstatement · cited by 348
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