feat(matrix): derive irreducibility from adjacent positivity - #428
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PerAlexandersson wants to merge 2 commits into
Open
feat(matrix): derive irreducibility from adjacent positivity#428PerAlexandersson wants to merge 2 commits into
PerAlexandersson wants to merge 2 commits into
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Progresses #421 with the first upstream-shaped graph-theoretic leaf of the classical oscillatory-matrix criterion.
This PR adds only RealRooted/Mathlib/LinearAlgebra/Matrix/Oscillatory.lean. It proves:
This exposes the existing Perron/primitive APIs without claiming the still-missing Whitney reduction or Gantmacher--Krein nodal theorem. The latter remains the formalization boundary needed for the full principal-section interlacing result discussed in #421 and PR #423.
The RealRooted.lean umbrella import is deliberately deferred because PRs #426 and #427 currently own that overlapping file.
Verification performed before publication: