Theorems · Theorem · ordinary differential equations
IsIntegralCurve.isIntegralCurveOn
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E},
IsIntegralCurve γ v → ∀ (s : Set ℝ), IsIntegralCurveOn γ v s- Defined in
- Mathlib.Analysis.ODE.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · 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
- HasDerivAt.hasDerivWithinAtproof · cited by 86
- IsIntegralCurveOnstatement · cited by 23
- IsIntegralCurvestatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- isIntegralCurveOn_univproof · cited by 2