Theorems · Theorem · ordinary differential equations
IsIntegralCurveAt.hasDerivAt
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {γ : ℝ → E} {v : ℝ → E → E} {t₀ : ℝ},
IsIntegralCurveAt γ v t₀ → HasDerivAt γ (v t₀ (γ t₀)) t₀- Defined in
- Mathlib.Analysis.ODE.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- nhdsproof · cited by 5,554
- HasDerivAtstatement and proof · cited by 493
- mem_of_mem_nhdsproof · cited by 126
- IsIntegralCurveOnproof · cited by 23
- HasDerivWithinAt.hasDerivAtproof · cited by 18
- IsIntegralCurveAtstatement and proof · cited by 15
- isIntegralCurveAt_iff_exists_mem_nhdsproof · cited by 5
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