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Proof step 33 from proof not-always-decrease (previous step)

◇ (a1 = A ∧ A ≪ a), N = N'' + 1 until A ≪ a, n = N + 1, boolvar → a0 = a2 ∧ N + 1 = n0, \A ∀ N, A, a. N < n → N = N'' +1 until A ≪ a → (∃ a1. ◇ (a1 = A ∧ A ≪ a)) ⊦ ∃ a1. a1 = a0 ∧ a0 ≪ a ∨ ◇ (a1 = A ∧ A ≪ a)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: a1

Additional information

Used terms: a1