Theorems · Theorem · global analysis

isMIntegralCurve_iff_isMIntegralCurveOn

∀ {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}, IsMIntegralCurve γ v ↔ IsMIntegralCurveOn γ v Set.univ

Defined in

Mathlib.Geometry.Manifold.IntegralCurve.Basic

Cited by

2 results in Mathlib

Foundations

Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace