Theorems · Theorem · ordinary differential equations
ODE.FunSpace.continuous
∀ {E : Type u_1} [inst : NormedAddCommGroup E] {tmin tmax : ℝ} {t₀ : ↑(Set.Icc tmin tmax)} {x₀ : E} {r L : NNReal}
(α : ODE.FunSpace t₀ x₀ L r), Continuous α.toFun- Defined in
- Mathlib.Analysis.ODE.PicardLindelof
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Set.Elemstatement and proof · cited by 7,166
- NNRealstatement and proof · cited by 4,310
- Continuousstatement · cited by 2,592
- Set.Iccstatement and proof · cited by 1,702
- ODE.FunSpacestatement and proof · cited by 37
- LipschitzWith.continuousproof · cited by 30
- ODE.FunSpace.toFunstatement · cited by 20
- ODE.FunSpace.lipschitzWithproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ODE.FunSpace.toContinuousMapproof · cited by 6
- ODE.FunSpace.continuous_compProjproof · cited by 3