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docs: Fix typos in docs

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jstoobysmith 2025-02-13 09:48:19 +00:00
parent cc20d096ea
commit d2ce55ddd0
27 changed files with 67 additions and 63 deletions
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4
HepLean/StandardModel/HiggsBoson/Potential.lean
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@ -174,7 +174,7 @@ lemma pos_𝓵_quadDiscrim_zero_bound (h : 0 < P.𝓵) (φ : HiggsField) (x : Sp
rw [neg_le, neg_div'] at h1
exact h1
/-- If `P.𝓵` is negative, then if `P.μ2` is greater then zero, for all space-time points,
/-- If `P.𝓵` is negative, then if `P.μ2` is greater than zero, for all space-time points,
the potential is negative `P.toFun φ x ≤ 0`. -/
lemma neg_𝓵_toFun_neg (h : P.𝓵 < 0) (φ : HiggsField) (x : SpaceTime) :
(0 < P.μ2 ∧ P.toFun φ x ≤ 0) ∨ P.μ2 ≤ 0 := by
@ -190,7 +190,7 @@ lemma neg_𝓵_toFun_neg (h : P.𝓵 < 0) (φ : HiggsField) (x : SpaceTime) :
exact mul_nonpos_of_nonpos_of_nonneg (mul_nonpos_of_nonpos_of_nonneg (le_of_lt h)
(sq_nonneg ‖φ x‖)) (sq_nonneg ‖φ x‖)
/-- If `P.𝓵` is bigger then zero, then if `P.μ2` is less then zero, for all space-time points,
/-- If `P.𝓵` is bigger then zero, then if `P.μ2` is less than zero, for all space-time points,
the potential is positive `0 ≤ P.toFun φ x`. -/
lemma pos_𝓵_toFun_pos (h : 0 < P.𝓵) (φ : HiggsField) (x : SpaceTime) :
(P.μ2 < 0 ∧ 0 ≤ P.toFun φ x) ∨ 0 ≤ P.μ2 := by