BookProof.ChapterGaugeShiftExample.no_shift_invariant_unit_vector'
ProvedBookProof.ChapterGaugeShiftExample.no_shift_invariant_unit_vector_primetheoremstimepiece
BookProof.ChapterGaugeShiftExample.no_shift_invariant_unit_vector'
Preamble
-- Generated from ChapterGaugeShiftExample.lean — theorem BookProof.ChapterGaugeShiftExample.no_shift_invariant_unit_vector' import Mathlib import Definitions.Def_ChapterGaugeShiftExample import Definitions.Def_ChapterContinuityUnitaryInfinite open BookProof.ChapterContinuityUnitaryInfinite open BookProof.ChapterGaugeShiftExample open scoped InnerProductSpace open BookProof.ChapterContinuityUnitaryInfinite
Formal statement
theorem BookProof.ChapterGaugeShiftExample.no_shift_invariant_unit_vector_prime :
¬ ∃ f : L2Z, ‖f‖ = 1 ∧ ∀ m : ℤ, shiftOp m f = f := by sorry