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feat: Add instance of SO(3) as topological group

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jstoobysmith 2024-05-21 06:21:51 -04:00
parent 8024aa92a1
commit 026ed8b85e
2 changed files with 30 additions and 6 deletions
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8
HepLean/GroupTheory/SO3/Basic.lean
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@ -45,7 +45,6 @@ scoped[GroupTheory] notation (name := SO3_notation) "SO(3)" => SO3
/-- SO3 has the subtype topology. -/
instance : TopologicalSpace SO3 := instTopologicalSpaceSubtype
namespace SO3
@[simp]
@ -139,11 +138,8 @@ def embeddingGL : Embedding toGL.toFun where
apply And.intro (isOpen_induced hU1)
exact hU2
instance : TopologicalGroup SO(3) :=
Inducing.topologicalGroup toGL embeddingGL.toInducing