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Proof step 7 from proof eqdef (previous step)

ordered≤(a ' + x0), a ∈ y, perm(x0, y -1l a), ordered≤(y), ∀ y0. perm(x0, y0) ∧ ordered≤(y0) → x0 = y0 ⊦ a ' + x0 = y

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: y -1l a

Additional information

Used simplifier rules: del1-01: ⊦ ordered≤(x) → ordered≤(x -1l a);%del1-01-01: ⊦ ordered≤(a ' + (x -1l a)) ∧ ordered≤(x) ∧ a ∈ x → a ' + (x -1l a) = x;%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: y -1l a