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Proof step 11 from proof ushort-neg (previous step)

s2i(sho) < 0 ⊦ fillsgn(16, int2bits(s2i(sho))) = [], 2 ^ n→i(# fillsgn(16, int2bits(s2i(sho)))) = 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ # bits ≤ n → # fillsgn(n, bits) = n
Proof step 13:
¬ # int2bits(s2i(sho)) ≤ 16, s2i(sho) < 0 ⊦ fillsgn(16, int2bits(s2i(sho))) = [], 2 ^ n→i(# fillsgn(16, int2bits(s2i(sho)))) = 65536

Rule argument

seq: ⊦ # bits ≤ n → # fillsgn(n, bits) = n subst: [bits, n] → [int2bits(s2i(sho)), 16] rotate: F spec: bitopsaux inst: name: fill-length

Additional information

Used terms: int2bits(s2i(sho)), 16