OAI/Analysis/MassAction/MassActionRegularity.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Problem326.contDiff_monomial line 10

    Source documentation

    Every mass-action monomial is smooth on the whole ambient real space.

    theorem contDiff_monomial {d : ℕ} (y : Fin d → ℕ) :
        ContDiff ℝ ⊤ (fun x : Fin d → ℝ => monomial x y) := by
    …

    Mentions: OAI.Problem326.monomial

  2. theorem OAI.Problem326.contDiff_massAction line 16

    Source documentation

    The mass-action vector field is polynomial, hence globally smooth.

    theorem contDiff_massAction {d : ℕ} (N : ReactionNetwork d)
        (κ : Reaction N → ℝ) : ContDiff ℝ ⊤ (massAction N κ) := by
    …

    Mentions: OAI.Problem326.ReactionNetwork, OAI.Problem326.Reaction, OAI.Problem326.massAction

  3. theorem OAI.Problem326.contDiff_one_massAction line 21
  4. theorem OAI.Problem326.locallyLipschitz_massAction line 25