def
definition
def or abbrev
defectIterate
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formal statement (Lean)
54def defectIterate (t : ℝ) (n : ℕ) : ℝ := Real.cosh ((2 : ℝ) ^ n * t) - 1
proof body
Definition body.
55
56/-- dₙ(0) = 0 for all n: on the critical line, all iterates vanish. -/
used by (17)
-
cascade_doubly_exponential_lower -
cascade_exponential_growth -
composition_cascade_stronger_than_single_defect -
CompositionClosureHypothesis -
composition_violates_budget -
defectIterate_exponential_lower -
defectIterate_four_mul_le -
defectIterate_mono -
defectIterate_nonneg -
defectIterate_succ -
defectIterate_succ' -
defectIterate_unbounded -
defectIterate_zero_eq_J_log -
defectIterate_zero_eq_zeroDefect -
defectIterate_zero_param -
defectIterate_zero_pos -
zero_composition_diverges