`BookProof.ChapterG.casimir_sufficient_for_constraints` {X Y : Type*} (π : X → Y) (h : IsUnconstrainedGaugeFixing π) : gaugeInvariantSubalgebra ℝ π ≠ ⊤
ProvedBookProof.ChapterG.casimir_sufficient_for_constraintstheoremstimepiece
Prove the following Lean 4 theorem from ChapterG.
BookProof.ChapterG.casimir_sufficient_for_constraints {X Y : Type*} (π : X → Y) (h : IsUnconstrainedGaugeFixing π) : gaugeInvariantSubalgebra ℝ π ≠ ⊤
Formalization note: Lean 4 identifier BookProof.ChapterG.casimir_sufficient_for_constraints.
Preamble
-- Generated from ChapterG.lean — theorem BookProof.ChapterG.casimir_sufficient_for_constraints
import Mathlib
import Definitions.Def_ChapterG
import Definitions.Def_ChapterGaugeUnconstrainedSpectrum
open BookProof.ChapterGaugeUnconstrainedSpectrum
open BookProof.ChapterG
open scoped ComplexConjugate InnerProductSpace Matrix
open MeasureTheory
variable {G : Type*} [Group G] [MeasurableSpace G]
variable {μG : Measure G} [IsProbabilityMeasure μG] [μG.IsMulLeftInvariant]
variable {X : Type*} [MulAction G X]
variable {A : Type*} [Ring A]
variable {α β E : Type*} [MeasurableSpace α] [MeasurableSpace β]
[NormedAddCommGroup E] [NormedSpace ℝ E] {μ : Measure α} {ν : Measure β}
{p : ENNReal} [Fact (1 ≤ p)]Formal statement
theorem BookProof.ChapterG.casimir_sufficient_for_constraints {X Y : Type*} (π : X → Y)
(h : IsUnconstrainedGaugeFixing π) :
gaugeInvariantSubalgebra ℝ π ≠ ⊤ := by sorry