Theorems · Inductive type · ordinary differential equations
ODE.FunSpace
{E : Type u_1} → [NormedAddCommGroup E] → {tmin tmax : ℝ} → ↑(Set.Icc tmin tmax) → E → NNReal → NNReal → Type u_1The space of L-Lipschitz functions α : Icc tmin tmax → E
- Defined in
- Mathlib.Analysis.ODE.PicardLindelof
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 102 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement · cited by 15,752
- Set.Elemstatement · cited by 7,166
- NNRealstatement · cited by 4,310
- Set.Iccstatement · cited by 1,702
Cited by47
Results whose statement or proof uses this declaration.
- ODE.FunSpace.toFunstatement and proof · cited by 20
- ODE.FunSpace.nextstatement and proof · cited by 16
- ODE.FunSpace.compProjstatement and proof · cited by 13
- ODE.FunSpace.toContinuousMapstatement and proof · cited by 6
- ODE.FunSpace.next_applystatement and proof · cited by 5
- ODE.FunSpace.compProj_applystatement and proof · cited by 3
- ODE.FunSpace.compProj_of_memstatement and proof · cited by 3
- ODE.FunSpace.continuous_compProjstatement and proof · cited by 3
- ODE.FunSpace.exists_isFixedPt_nextstatement and proof · cited by 3
- ODE.FunSpace.mem_closedBallstatement and proof · cited by 3
- ODE.FunSpace.casesOnstatement and proof · cited by 2
- ODE.FunSpace.compProj_mem_closedBallstatement and proof · cited by 2