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Proof step 22 from proof always-noincrease-stable (previous step)

□ (A'' ≪ A ∨ A'' = A), N = N'' +1 until (¬ A ≪ a ∧ A ≠ a), a = A, m = N, \A ∀ N, A, a. N < m → □ (A'' ≪ A ∨ A'' = A) ∧ a = A → ¬ N = N'' +1 until (¬ A ≪ a ∧ A ≠ a) ⊦

User applied rule step

And obtained the following new goals

Proof step 23:
□ (A'' ≪ A ∨ A'' = A), ¬ a0 ≪ a ∧ a0 ≠ a ∨ n = N +1 ∧ N = N'' +1 until (¬ A ≪ a ∧ A ≠ a), a = a0, m = n, boolvar → a0 = a1 ∧ n = n0, A ≪ a0 ∨ A = a0, \A ∀ N, A, a. N < m → □ (A'' ≪ A ∨ A'' = A) ∧ a = A → ¬ N = N'' +1 until (¬ A ≪ a ∧ A ≠ a) ⊦

Rule argument

args:[positions: , ]

Proof step 22 from proof always-noincrease-stable (previous step)

User applied rule step

And obtained the following new goals

Rule argument

Additional information