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refactor: Replace some simp with simp?

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jstoobysmith 2024-09-04 07:31:34 -04:00
parent 03edf78931
commit fccb283a5c
14 changed files with 110 additions and 85 deletions
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7
HepLean/Mathematics/SO3/Basic.lean
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@ -25,12 +25,13 @@ instance SO3Group : Group SO3 where
by
simp only [det_mul, A.2.1, B.2.1, mul_one],
by
simp [A.2.2, B.2.2, ← Matrix.mul_assoc, Matrix.mul_assoc]⟩
simp only [transpose_mul, ← Matrix.mul_assoc, Matrix.mul_assoc, B.2.2, mul_one, A.2.2]⟩
mul_assoc A B C := Subtype.eq (Matrix.mul_assoc A.1 B.1 C.1)
one := ⟨1, det_one, by rw [transpose_one, mul_one]⟩
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]⟩
inv A := ⟨A.1ᵀ, by simp only [det_transpose, A.2],
by simp only [transpose_transpose, 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`. -/
@ -99,7 +100,7 @@ lemma toGL_embedding : Embedding toGL.toFun where
rw [isOpen_induced_iff] at hU1
obtain ⟨V, hV1, hV2⟩ := hU1
use V
simp [hV1]
simp only [hV1, true_and]
rw [← hU2, ← hV2]
rfl
· intro h