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chore: Bump to 4.11.0

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jstoobysmith 2024-09-04 06:28:46 -04:00
parent b6162217b7
commit 17f09022db
48 changed files with 404 additions and 137 deletions
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6
HepLean/Mathematics/SO3/Basic.lean
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@ -19,7 +19,7 @@ open Matrix
/-- The group of `3×3` real matrices with determinant 1 and `A * Aᵀ = 1`. -/
def SO3 : Type := {A : Matrix (Fin 3) (Fin 3) ℝ // A.det = 1 ∧ A * Aᵀ = 1}
@[simps mul_coe one_coe inv div]
@[simps! mul_coe one_coe inv div]
instance SO3Group : Group SO3 where
mul A B := ⟨A.1 * B.1,
by
@ -31,7 +31,7 @@ instance SO3Group : Group SO3 where
one_mul A := Subtype.eq (Matrix.one_mul A.1)
mul_one A := Subtype.eq (Matrix.mul_one A.1)
inv A := ⟨A.1ᵀ, by simp [A.2], by simp [mul_eq_one_comm.mpr A.2.2]⟩
mul_left_inv A := Subtype.eq (mul_eq_one_comm.mpr A.2.2)
inv_mul_cancel A := Subtype.eq (mul_eq_one_comm.mpr A.2.2)
/-- Notation for the group `SO3`. -/
scoped[GroupTheory] notation (name := SO3_notation) "SO(3)" => SO3
@ -123,7 +123,7 @@ lemma det_minus_id (A : SO(3)) : det (A.1 - 1) = 0 := by
_ = det (- (A.1 - 1)) := by simp
_ = (- 1) ^ 3 * det (A.1 - 1) := by simp only [det_neg, Fintype.card_fin, neg_mul, one_mul]
_ = - det (A.1 - 1) := by simp [pow_three]
simpa using h1
exact CharZero.eq_neg_self_iff.mp h1
@[simp]
lemma det_id_minus (A : SO(3)) : det (1 - A.1) = 0 := by