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chore: namechange

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jstoobysmith 2024-07-12 10:23:59 -04:00
parent b062bbf08c
commit 1fe51b2e04
4 changed files with 34 additions and 28 deletions
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HepLean/StandardModel/HiggsBoson/PointwiseInnerProd.lean
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@ -69,7 +69,7 @@ lemma innerProd_expand (φ1 φ2 : HiggsField) :
nth_rewrite 1 [← RCLike.re_add_im (φ2 x 0)]
nth_rewrite 1 [← RCLike.re_add_im (φ2 x 1)]
ring_nf
repeat rw [show RCLike.ofReal _ = ofReal' _ by rfl]
repeat rw [show RCLike.ofReal _ = ofReal' _ by rfl]
simp only [Algebra.id.map_eq_id, RCLike.re_to_complex, RingHom.id_apply, RCLike.I_to_complex,
RCLike.im_to_complex, I_sq, mul_neg, mul_one, neg_mul, sub_neg_eq_add, one_mul]
ring
@ -127,7 +127,7 @@ lemma toHiggsVec_norm (φ : HiggsField) (x : SpaceTime) :
‖φ x‖ = ‖φ.toHiggsVec x‖ := rfl
lemma normSq_expand (φ : HiggsField) :
φ.normSq = fun x => (conj (φ x 0) * (φ x 0) + conj (φ x 1) * (φ x 1) ).re := by
φ.normSq = fun x => (conj (φ x 0) * (φ x 0) + conj (φ x 1) * (φ x 1)).re := by
funext x
simp [normSq, add_re, mul_re, conj_re, conj_im, neg_mul, sub_neg_eq_add, @norm_sq_eq_inner ℂ]