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Original file line number Diff line number Diff line change
Expand Up @@ -193,13 +193,13 @@ noncomputable def fromRealLM : ℝ →ₗ[ℝ] ConfigurationSpace :=
noncomputable def toRealCLM : ConfigurationSpace →L[ℝ] ℝ :=
toRealLM.mkContinuous 1 (by
intro x
simp [toRealLM, norm, mul_comm, mul_left_comm, mul_assoc])
simp [toRealLM, norm])

/-- Continuous linear map embedding a real value into the configuration space. -/
noncomputable def fromRealCLM : ℝ →L[ℝ] ConfigurationSpace :=
fromRealLM.mkContinuous 1 (by
intro x
simp [fromRealLM, norm, mul_comm, mul_left_comm, mul_assoc])
simp [fromRealLM, norm])

/-- Homeomorphism between configuration space and `ℝ` given by `ConfigurationSpace.val`. -/
noncomputable def valHomeomorphism : ConfigurationSpace ≃ₜ ℝ where
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