Theorems · Theorem · ordinary differential equations
ODE.FunSpace.compProj_of_mem
∀ {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 r L} {t : ℝ} (ht : t ∈ Set.Icc tmin tmax), α.compProj t = α.toFun ⟨t, ht⟩- Defined in
- Mathlib.Analysis.ODE.PicardLindelof
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 108 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.
Cites12
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
- Set.Iccstatement and proof · cited by 1,702
- le_transproof · cited by 985
- ODE.FunSpacestatement and proof · cited by 37
- ODE.FunSpace.toFunstatement and proof · cited by 20
- ODE.FunSpace.compProjstatement · cited by 13
- Set.projIcc_of_memproof · cited by 11
- ODE.FunSpace.compProj_applyproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAtproof · cited by 2
- ODE.FunSpace.dist_iterate_next_apply_leproof · cited by 1