simp [DiracSeq]
s a b : ℝ
⊢ ∫ (x : ℝ) in a..b, DiracSeq s x = ∫ (x : ℝ) in s * a..s * b, DiracSeq 1 x
s a b : ℝ
⊢ s / sqrt π * ∫ (x : ℝ) in a..b, rexp (-(s * x) ^ 2) = (sqrt π)⁻¹ * ∫ (x : ℝ) in s * a..s * b, rexp (-x ^ 2)