[Merged by Bors] - refactor(Gronwall): Restate in terms of LipschitzOnWith, EqOn
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eric-wieser
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Dec 9, 2023
| (hv : ∀ t, ∀ᵉ (x ∈ s t) (y ∈ s t), dist (v t x) (v t y) ≤ K * dist x y) | ||
| theorem dist_le_of_approx_trajectories_ODE_of_mem_set {v : ℝ → E → E} {s : ℝ → Set E} {K : ℝ≥0} | ||
| (hv : ∀ t, LipschitzOnWith K (v t) (s t)) |
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Isn't the new statement weaker? You've demoted ∀ᵉ to ∀.
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Oh nevermind, I thought ∀ᵉ was some special thing like eventually, but it's just a weird notation for binders.
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LipschitzOnWith, EqOnLipschitzOnWith, EqOn
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Restate the uniqueness theorems for solutions to ODEs using
LipschitzOnWithandEqOnrather than the equivalent raw propositions, so that relevant APIs may be used for arguments of these theorems.