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Proof step 16 from proof always-noincrease-stable (previous step)

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

User applied rule apply induction

And closed the goal!

Rule argument

subst: [N, A, a] → [N, A, a]

Additional information

Used simplifier rules: ⊦ m +1 = m + 1; (s)% ⊦ m < n + 1 ↔ ¬ n < m; (s)% ⊦ ¬ n < n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used terms: N, A, a