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Proof step 4 from proof sis-bitlength (previous step)

# int2bits(i) ≤ 16 ⊦ cast(16, i) = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ n→i(# int2bits(j)) ≤ i → cast(i, j) = j

Rule argument

seq: ⊦ n→i(# int2bits(j)) ≤ i → cast(i, j) = j subst: [j, i] → [i, 16] rotate: F spec: intops inst: name: cast-size-fits

Additional information

Used simplifier rules: 0 ≤ i ⊦ n→i(n) ≤ (* i) ↔ n ≤ i→n(i);% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m ≤ n → (n < m ↔ false); Used terms: i, 16