Theorems · Theorem · ordinary differential equations

isIntegralCurveAt_comp_add

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E} {t₀ dt : ℝ},
  IsIntegralCurveAt (γ ∘ fun x => x + dt) (v ∘ fun x => x + dt) (t₀ - dt) ↔ IsIntegralCurveAt γ v t₀

Defined in

Mathlib.Analysis.ODE.Transform

Cited by

2 results in Mathlib

Foundations

Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace