Theorems · Theorem · ordinary differential equations
IsIntegralCurve.isIntegralCurveAt
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E},
IsIntegralCurve γ v → ∀ (t : ℝ), IsIntegralCurveAt γ v t- Defined in
- Mathlib.Analysis.ODE.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- Filter.univ_memproof · cited by 96
- HasDerivAt.hasDerivWithinAtproof · cited by 86
- IsIntegralCurveAtstatement · cited by 15
- IsIntegralCurvestatement and proof · cited by 12
- isIntegralCurveAt_iff_exists_mem_nhdsproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- isIntegralCurve_iff_isIntegralCurveAtproof · cited by 0
- IsIntegralCurve.continuousproof · cited by 0