OAI/MathematicalPhysics/DefocusingNLS/Certificates/MatchingMatrixSimpleZero.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A simple zero of the full matching determinant excludes a first differentiated matching chain. The adjugate identity handles all four columns without choosing a possibly singular minor.

  1. theorem OAI.DefocusingNLS.matrix_det_analyticAt line 13

    Distinct definitions of this name: OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousFiniteRankAnalytic.lean:16 (different declaration text). Qualify references as OAI.DefocusingNLS.matrix_det_analyticAt@path.

  2. theorem OAI.DefocusingNLS.matrix_adjugate_analyticAt line 25
  3. theorem OAI.DefocusingNLS.matrix_mulVec_hasDerivAt line 38
  4. theorem OAI.DefocusingNLS.matchingMatrix_simple_zero_no_chain line 45