OAI/GroupTheory/PolycyclicRecognition/Geometry/TriangularExponentialInjective.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Global injectivity of the real upper triangular matrix exponential
Its differential is nonsingular at every point, by the real triangular adjoint calculation. Local injectivity at a logarithm, together with the already proved trivial exponential kernel, excludes every other logarithm.
- theorem
OAI.PolycyclicRecognition.realTriangularAlgebra_exp_injectiveline 21