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Proof step 37 from proof sis-on-bits (previous step)

i < 16384, 0 < i ⊦ s2i(i2s(bits2int(lastn(16, int2bits(i))))) = bits2int(lastn(16, fillsgn(16, int2bits(i)))), i ∈short

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 38:
⊦ i ∈short ↔ ~32768 ≤ i ∧ i ≤ 32767

Rule argument

name: inshort rotate: F subst: [i] → [i]

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j ∧ ¬ i0 < j → ¬ i0 < i;%j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0); Used terms: i