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Proof step 9 from proof always-noincrease-stable (previous step)

□ A = a ⊦ □ A'' = A

User applied rule induction

And obtained the following new goals

Proof step 10:
□ A = a, N = N'' +1 until A'' ≠ A, m = N, \A ∀ N, A, a. N < m → □ A = a → ¬ N = N'' +1 until A'' ≠ A ⊦

Rule argument

indvar: □ A'' = A wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: □ A'' = A