Theorems · Theorem · ordinary differential equations

isIntegralCurveOn_comp_add

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

Defined in

Mathlib.Analysis.ODE.Transform

Cited by

3 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupNormedSpace