Theorems · Theorem · ordinary differential equations
isIntegralCurveOn_univ
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E},
IsIntegralCurveOn γ v Set.univ ↔ IsIntegralCurve γ v- 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.
Cites10
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.univstatement and proof · cited by 3,945
- Set.mem_univproof · cited by 416
- Filter.univ_memproof · cited by 96
- IsIntegralCurveOnstatement and proof · cited by 23
- HasDerivWithinAt.hasDerivAtproof · cited by 18
- IsIntegralCurvestatement and proof · cited by 12
- IsIntegralCurve.isIntegralCurveOnproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsIntegralCurve.comp_mulproof · cited by 1
- IsIntegralCurve.comp_addproof · cited by 0