OAI/GroupTheory/PolycyclicRecognition/Algebra/ContinuousOneParameter.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Continuous one-parameter subgroups are differentiable

An integral of the curve over a sufficiently short interval is invertible. The subgroup identity then expresses the curve using a differentiable primitive and multiplication by that fixed inverse.

  1. theorem OAI.PolycyclicRecognition.exists_isUnit_intervalIntegral line 24
  2. theorem OAI.PolycyclicRecognition.continuous_oneParameter_hasDerivAt_zero line 44
  3. theorem OAI.PolycyclicRecognition.continuous_oneParameter_eq_exp line 75
  4. theorem OAI.PolycyclicRecognition.contDiff_continuous_oneParameter line 82