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Proof step 27 from proof always-noincrease-stable (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
N = N'' + 1 until (¬ A ≪ a0 ∧ A ≠ a0), □ (A'' ≪ A ∨ A'' = A), a = A, n = N + 1, A ≪ a0, boolvar → a0 = a1 ∧ N + 1 = n0, \A ∀ N, A, a. N < n → □ (A'' ≪ A ∨ A'' = A) ∧ a = A → ¬ N = N'' +1 until (¬ A ≪ a ∧ A ≠ a) ⊦ N = N'' + 1 until (¬ A ≪ a ∧ A ≠ a)

Proof step 27 from proof always-noincrease-stable (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information