DibyashanuPati/PhysLean
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

refactor: More spelling

Browse source
This commit is contained in:
jstoobysmith 2025-02-09 14:50:03 +00:00
parent 4a55351b72
commit 26d2c24c83
1 changed files with 7 additions and 7 deletions
Download patch file Download diff file Expand all files Collapse all files

14
HepLean/FlavorPhysics/CKMMatrix/Relations.lean
View file

@ -21,7 +21,7 @@ open ComplexConjugate
section rows
/-- The absolute value squared of any rwo of a CKM matrix is `1`, in terms of `Vabs`. -/
/-- The absolute value squared of any row of a CKM matrix is `1`, in terms of `Vabs`. -/
lemma VAbs_sum_sq_row_eq_one (V : Quotient CKMMatrixSetoid) (i : Fin 3) :
(VAbs i 0 V) ^ 2 + (VAbs i 1 V) ^ 2 + (VAbs i 2 V) ^ 2 = 1 := by
obtain ⟨V, hV⟩ := Quot.exists_rep V
@ -36,31 +36,31 @@ lemma VAbs_sum_sq_row_eq_one (V : Quotient CKMMatrixSetoid) (i : Fin 3) :
rw [← ofReal_inj]
simpa using ht
/-- The absolute value squared of the first rwo of a CKM matrix is `1`, in terms of `abs`. -/
/-- The absolute value squared of the first row of a CKM matrix is `1`, in terms of `abs`. -/
lemma fst_row_normalized_abs (V : CKMMatrix) : abs [V]ud ^ 2 + abs [V]us ^ 2 + abs [V]ub ^ 2 = 1 :=
VAbs_sum_sq_row_eq_one ⟦V⟧ 0
/-- The absolute value squared of the second rwo of a CKM matrix is `1`, in terms of `abs`. -/
/-- The absolute value squared of the second row of a CKM matrix is `1`, in terms of `abs`. -/
lemma snd_row_normalized_abs (V : CKMMatrix) : abs [V]cd ^ 2 + abs [V]cs ^ 2 + abs [V]cb ^ 2 = 1 :=
VAbs_sum_sq_row_eq_one ⟦V⟧ 1
/-- The absolute value squared of the third rwo of a CKM matrix is `1`, in terms of `abs`. -/
/-- The absolute value squared of the third row of a CKM matrix is `1`, in terms of `abs`. -/
lemma thd_row_normalized_abs (V : CKMMatrix) : abs [V]td ^ 2 + abs [V]ts ^ 2 + abs [V]tb ^ 2 = 1 :=
VAbs_sum_sq_row_eq_one ⟦V⟧ 2
/-- The absolute value squared of the first rwo of a CKM matrix is `1`, in terms of `nomSq`. -/
/-- The absolute value squared of the first row of a CKM matrix is `1`, in terms of `nomSq`. -/
lemma fst_row_normalized_normSq (V : CKMMatrix) :
normSq [V]ud + normSq [V]us + normSq [V]ub = 1 := by
repeat rw [← Complex.sq_abs]
exact V.fst_row_normalized_abs
/-- The absolute value squared of the second rwo of a CKM matrix is `1`, in terms of `nomSq`. -/
/-- The absolute value squared of the second row of a CKM matrix is `1`, in terms of `nomSq`. -/
lemma snd_row_normalized_normSq (V : CKMMatrix) :
normSq [V]cd + normSq [V]cs + normSq [V]cb = 1 := by
repeat rw [← Complex.sq_abs]
exact V.snd_row_normalized_abs
/-- The absolute value squared of the third rwo of a CKM matrix is `1`, in terms of `nomSq`. -/
/-- The absolute value squared of the third row of a CKM matrix is `1`, in terms of `nomSq`. -/
lemma thd_row_normalized_normSq (V : CKMMatrix) :
normSq [V]td + normSq [V]ts + normSq [V]tb = 1 := by
repeat rw [← Complex.sq_abs]