Examples and distinctions
Constructed examples of this model; each answer includes the Lean statement.
Exact root statement
(∀ (step : ℕ), NormalizedAt (iteration step)) ∧
(∀ (step : ℕ), MinimizesAt (hartreeHamiltonian (density (iteration step))) (iteration (step + 1))) ∧
(∀ (step : ℕ), totalEnergy (iteration (step + 1)) = totalEnergy (iteration step)) ∧
(∀ (step : ℕ), |density (iteration (step + 1)) 0 - density (iteration step) 0| = 4 / 5) ∧
(∀ (step : ℕ), totalEnergy (iteration step) - totalEnergy equalPhase = 7 / 5) ∧
∀ (limit : ℝ), ¬Filter.Tendsto (fun step => density (iteration step) 0) Filter.atTop (nhds limit)
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Notes and questions
Import merges local entries without overwriting them.
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Definitions, structures, and assumptions
Definitions and domain choices
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Checked statements: parameters, hypotheses, and interpretation
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