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Proof step 30 from proof not-always-decrease (previous step)

N = N'' + 1 until A ≪ a, n = N + 1, boolvar → a0 = a2 ∧ n = n0, \A ∀ N, A, a. N < n → N = N'' +1 until A ≪ a → (∃ a1. ◇ (a1 = A ∧ A ≪ a)) ⊦ ∃ a1. a1 = a0 ∧ a0 ≪ a ∨ ◇ (a1 = A ∧ A ≪ a)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
N = N'' + 1 until A ≪ a, n = N + 1, boolvar → a0 = a2 ∧ N + 1 = n0, \A ∀ N, A, a. N < n → N = N'' +1 until A ≪ a → (∃ a1. ◇ (a1 = A ∧ A ≪ a)) ⊦ ∃ a1. a1 = a0 ∧ a0 ≪ a ∨ ◇ (a1 = A ∧ A ≪ a)

Proof step 30 from proof not-always-decrease (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information