structure definition def or abbrev

`OneStepDynamics`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  22structure OneStepDynamics (α : Type) where
  23  step : α → α
  24  defect : α → ℝ
  25  defect_nonincreasing : ∀ s, defect (step s) ≤ defect s
  26
  27/-- The 8-step evolution operator. -/

used by (6)

From the project-wide theorem graph. These declarations reference this one in their body.

EightTickCertificate in IndisputableMonolith.NavierStokes.EightTickDynamics decl_use
iterate_defect_nonincreasing in IndisputableMonolith.NavierStokes.EightTickDynamics decl_use
step8 in IndisputableMonolith.NavierStokes.EightTickDynamics decl_use
step8_defect_nonincreasing in IndisputableMonolith.NavierStokes.EightTickDynamics decl_use
window_certificate_extends in IndisputableMonolith.NavierStokes.EightTickDynamics decl_use
windowDynamics in IndisputableMonolith.NavierStokes.EightTickDynamics decl_use

depends on (2)

Lean names referenced from this declaration's body.

step in IndisputableMonolith.Complexity.CellularAutomata decl_use
defect in IndisputableMonolith.Foundation.LawOfExistence decl_use