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def

decomposition_unique

definition
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module
IndisputableMonolith.Relativity.GW.TensorDecomposition
domain
Relativity
line
30 · github
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IndisputableMonolith.Relativity.GW.TensorDecomposition on GitHub at line 30.

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formal source

  27    ∀ h, ∃ tp : TensorPerturbation, P h = tp.h_TT 0
  28
  29/-- Uniqueness of the TT decomposition. -/
  30def decomposition_unique : Prop :=
  31  ∀ tp1 tp2 : TensorPerturbation, tp1.h_TT = tp2.h_TT → tp1 = tp2
  32
  33theorem decomposition_unique_holds : decomposition_unique := by
  34  intro tp1 tp2 h
  35  cases tp1; cases tp2; simp at h; subst h
  36  rfl
  37
  38
  39end GW
  40end Relativity
  41end IndisputableMonolith

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