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Proof step 22 from proof ushort-plus (previous step)

s2i(sho) < 0, us2i(sho0) + s2i(sho) < 0 ⊦ us2i(i2s(s2i(sho) + s2i(sho0))) = us2i(sho0) + s2i(sho) + 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ s2i(sho) < 0 → us2i(sho) = 2 ^ 16 + s2i(sho)
Proof step 24:
¬ s2i(sho0) < 0, s2i(sho) < 0, us2i(sho0) + s2i(sho) < 0 ⊦ us2i(i2s(s2i(sho) + s2i(sho0))) = us2i(sho0) + s2i(sho) + 65536

Rule argument

name: ushort-neg rotate: F subst: [sho] → [sho0]

Additional information

Used simplifier rules: short-add-min-03: ⊦ ¬ s2i(sho) + s2i(sho0) < ~65536;% ⊦ i + (* j) < (* j0) ↔ i < j0 - j;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used terms: sho0