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Proof step 15 from proof sw (previous step)

∀ a, b. ins≤(a, ins≤(b, x0)) = ins≤(b, ins≤(a, x0)) ⊦ ins≤(a, b ' + a0 ' + x0) = ins≤(b, ins≤(a, a0 ' + x0)), a0 < b

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 16:
b < a, ∀ a, b. ins≤(a, ins≤(b, x0)) = ins≤(b, ins≤(a, x0)) ⊦ ins≤(a, b ' + a0 ' + x0) = ins≤(b, ins≤(a, a0 ' + x0)), a0 < b
Proof step 18:
∀ a, b. ins≤(a, ins≤(b, x0)) = ins≤(b, ins≤(a, x0)) ⊦ b < a, ins≤(a, b ' + a0 ' + x0) = ins≤(b, ins≤(a, a0 ' + x0)), a0 < b

Rule argument

fma: b < a

Additional information

Used formulas: b < a