Theorems · Theorem · ordinary differential equations
IsIntegralCurveOn.isIntegralCurveAt
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E} {s : Set ℝ}
{t₀ : ℝ}, IsIntegralCurveOn γ v s → s ∈ nhds t₀ → IsIntegralCurveAt γ v t₀- Defined in
- Mathlib.Analysis.ODE.Basic
- Cited by
- 1 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.
- 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
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- IsIntegralCurveOnstatement and proof · cited by 23
- IsIntegralCurveAtstatement · cited by 15
- isIntegralCurveAt_iff_exists_mem_nhdsproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- isIntegralCurveOn_iff_isIntegralCurveAtproof · cited by 0