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Proof step 8 from proof eq (previous step)

ins≤(a, a0 ' + x0) = ins≤(a, y), ∀ a, y. ins≤(a, x0) = ins≤(a, y) → x0 = y ⊦ a0 ' + x0 = y

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 9:
ins≤(a, a0 ' + x0) = ins≤(a, y), a0 < a, ∀ a, y. ins≤(a, x0) = ins≤(a, y) → x0 = y ⊦ a0 ' + x0 = y
Proof step 18:
ins≤(a, a0 ' + x0) = ins≤(a, y), ∀ a, y. ins≤(a, x0) = ins≤(a, y) → x0 = y ⊦ a0 ' + x0 = y, a0 < a

Rule argument

fma: a0 < a

Additional information

Used formulas: a0 < a