Theorems · Theorem · global analysis

IsMIntegralCurveOn.comp_mul

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {H : Type u_2} [inst_2 : TopologicalSpace H]
  {I : ModelWithCorners ℝ E H} {M : Type u_3} [inst_3 : TopologicalSpace M] [inst_4 : ChartedSpace H M] {γ : ℝ → M}
  {v : (x : M) → TangentSpace I x} {s : Set ℝ},
  IsMIntegralCurveOn γ v s → ∀ (a : ℝ), IsMIntegralCurveOn (γ ∘ fun x => x * a) (a • v) {t | t * a ∈ s}

Defined in

Mathlib.Geometry.Manifold.IntegralCurve.Transform

Cited by

3 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace