OAI/Analysis/Mahler/SourceFluxCoordinates.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.Mahler.powerFinEquiv_interleaved line 11
  2. lemma OAI.Mahler.sourceBoundarySlots_eq_boundaryFinEquiv line 25
  3. lemma OAI.Mahler.sourceTopSlots_eq_ambientFinEquiv line 34
  4. theorem OAI.Mahler.sourceCoordinates_eq_fluxCoordinates line 41

    Source documentation

    Coordinate Stokes and cofactor sphere integration use the positive interleaved coordinate map, including the ambient degree cast.

    theorem sourceCoordinates_eq_fluxCoordinates (k : ℕ) :
        sourceCoordinates k = fluxCoordinates k := by
    …

    Mentions: OAI.Mahler.sourceCoordinates, OAI.Mahler.fluxCoordinates

  5. def OAI.Mahler.sourceFluxForm line 55

    Source documentation

    The bundled complex form, with its specified boundary slot order.

    def sourceFluxForm {k : ℕ} (u : ComplexEuclidean (k+1) → ℂ)
        (x : ComplexEuclidean (k+1)) :
        ComplexEuclidean (k+1) [⋀^Fin (2*k+1)]→L[ℝ] ℂ :=
    …

    Mentions: OAI.Mahler.ComplexEuclidean

  6. lemma OAI.Mahler.sourceCoordinateForm_eq_fluxPullback line 60
  7. lemma OAI.Mahler.sourceFluxForm_toAlternatingMap line 65
  8. lemma OAI.Mahler.contDiffAt_sourceFluxForm line 73