Theorems · Theorem · ordinary differential equations

IsIntegralCurveOn.comp_mul

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E} {s : Set ℝ},
  IsIntegralCurveOn γ v s → ∀ (a : ℝ), IsIntegralCurveOn (γ ∘ fun x => x * a) (a • v ∘ fun x => x * a) {t | t * a ∈ s}

Defined in

Mathlib.Analysis.ODE.Transform

Cited by

3 results in Mathlib

Foundations

Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace