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Proof step 2 from proof short-add-min-02 (previous step)

s2i(sho1) < 0, 0 ≤ s2i(sho0), s2i(sho0) + s2i(sho1) < 0, s2i(sho0) + s2i(sho1) < ~32768 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 3:
s2i(sho1) < 0, 0 ≤ s2i(sho0), s2i(sho0) + s2i(sho1) < 0, s2i(sho0) + s2i(sho1) < ~32768 ⊦ 0 + s2i(sho1) < ~32768

Rule argument

fma: 0 + s2i(sho1) < ~32768

Additional information

Used simplifier rules: short-min-01: ⊦ ¬ s2i(sho) < ~32768;% ⊦ i + 0 = i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used formulas: 0 + s2i(sho1) < ~32768