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Proof step 11 from proof always-noincrease-stable (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
□ A = a, A ≠ a ∨ n = N + 1 ∧ N = N'' + 1 until A'' ≠ A, boolvar → a = a1 ∧ n = n0, \A ∀ N, A, a. N < n → □ A = a → ¬ N = N'' +1 until A'' ≠ A ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m +1 = m + 1; (s)