Theorems · Theorem · ordinary differential equations
isIntegralCurve_comp_add
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E} {dt : ℝ},
IsIntegralCurve (γ ∘ fun x => x + dt) (v ∘ fun x => x + dt) ↔ IsIntegralCurve γ v- Defined in
- Mathlib.Analysis.ODE.Transform
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Set.univproof · cited by 3,945
- HVAdd.hVAddproof · cited by 1,820
- IsIntegralCurveOnproof · cited by 23
- Set.vadd_set_univproof · cited by 16
- IsIntegralCurvestatement · cited by 12
- isIntegralCurveOn_comp_addproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- isIntegralCurve_comp_subproof · cited by 1