refactor: Linting substrings
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40 changed files with 133 additions and 132 deletions
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@ -227,9 +227,9 @@ lemma fstRowThdColRealCond_holds_up_to_equiv (V : CKMMatrix) :
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obtain ⟨τ, hτ⟩ := V.uRow_cross_cRow_eq_tRow
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let U : CKMMatrix := phaseShiftApply V
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0
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(- τ + arg [V]ud + arg [V]us + arg [V]tb )
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(- τ + arg [V]cb + arg [V]ud + arg [V]us )
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(- arg [V]ud )
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(- τ + arg [V]ud + arg [V]us + arg [V]tb)
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(- τ + arg [V]cb + arg [V]ud + arg [V]us)
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(- arg [V]ud)
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(- arg [V]us)
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(τ - arg [V]ud - arg [V]us - arg [V]cb - arg [V]tb)
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have hUV : Quotient.mk CKMMatrixSetoid U = ⟦V⟧ := by
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@ -262,7 +262,7 @@ lemma ubOnePhaseCond_hold_up_to_equiv_of_ub_one {V : CKMMatrix} (hb : ¬ ([V]ud
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(hV : FstRowThdColRealCond V) :
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∃ (U : CKMMatrix), V ≈ U ∧ ubOnePhaseCond U:= by
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let U : CKMMatrix := phaseShiftApply V 0 0 (- Real.pi + arg [V]cd + arg [V]cs + arg [V]ub)
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(Real.pi - arg [V]cd ) (- arg [V]cs) (- arg [V]ub )
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(Real.pi - arg [V]cd) (- arg [V]cs) (- arg [V]ub)
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use U
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have hUV : Quotient.mk CKMMatrixSetoid U= ⟦V⟧ := by
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simp only [Quotient.eq]
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@ -318,7 +318,7 @@ lemma ubOnePhaseCond_hold_up_to_equiv_of_ub_one {V : CKMMatrix} (hb : ¬ ([V]ud
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lemma cd_of_fstRowThdColRealCond {V : CKMMatrix} (hb : [V]ud ≠ 0 ∨ [V]us ≠ 0)
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(hV : FstRowThdColRealCond V) :
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[V]cd = (- VtbAbs ⟦V⟧ * VusAbs ⟦V⟧ / (VudAbs ⟦V⟧ ^2 + VusAbs ⟦V⟧ ^2)) +
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(- VubAbs ⟦V⟧ * VudAbs ⟦V⟧ * VcbAbs ⟦V⟧ / (VudAbs ⟦V⟧ ^2 + VusAbs ⟦V⟧ ^2 ))
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(- VubAbs ⟦V⟧ * VudAbs ⟦V⟧ * VcbAbs ⟦V⟧ / (VudAbs ⟦V⟧ ^2 + VusAbs ⟦V⟧ ^2))
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* cexp (- arg [V]ub * I) := by
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have hτ : [V]t = cexp ((0 : ℝ) * I) • (conj ([V]u) ×₃ conj ([V]c)) := by
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simp only [ofReal_zero, zero_mul, exp_zero, one_smul]
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