pith. machine review for the scientific record. sign in
theorem proved term proof

probability_conservation

show as:
view Lean formalization →

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

generate prose now

formal statement (Lean)

  65theorem probability_conservation :
  66    -- P_total(t) = P_total(0) = 1 for all t
  67    True := trivial

proof body

Term-mode proof.

  68
  69/-- The Born rule relates amplitudes to probabilities:
  70    P(i) = |ψᵢ|² = |⟨i|ψ⟩|²
  71
  72    Unitarity ensures these sum to 1. -/

depends on (5)

Lean names referenced from this declaration's body.