Prove2Me

Characteristic contact projection linear

Proved
BirkhoffGlobalSection.characteristic_contact_projection_linear

by Mazecto · Oct 3, 2026 · Mathlib 0df444a (Lean v4.33.1)

differential-geometryreal-analysis

For fixed characteristic data, characteristic contact projection preserves arbitrary real linear combinations.

All displayed regularity, tangency, normalization and supplied-data hypotheses of the exact formal statement are retained.

Preamble
import Theorems.Thm_BirkhoffGlobalSection_contact_frame_basis_bundle
open BirkhoffGlobalSection Set Filter SignType
open scoped ContDiff Topology
set_option linter.unusedVariables false


set_option autoImplicit false
set_option maxHeartbeats 800000
Formal statement
theorem BirkhoffGlobalSection.characteristic_contact_projection_linear :
∀ (F : Phase → ℝ) (y v w : Phase) (a b : ℝ),
    characteristicContactProjection F y (a • v + b • w) =
      a • characteristicContactProjection F y v + b • characteristicContactProjection F y w := by sorry
Source
Independent extraction of component 3 of the Proved theorem BirkhoffGlobalSection.contact_frame_basis_bundle. Original verified source: Solutions/Sol_BirkhoffGlobalSection_contact_frame_basis_bundle.lean. Exact original component retained.

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