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Proof step 3 from proof bytes2bits-mklist (previous step)

bytes2bits(mklist(i2b(0), m)) = mklist(false, 8 * m) ⊦ byte2bits(i2b(0)) = false ' + false ' + false ' + false ' + false ' + false ' + false ' + false '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ byte2bits(by) = fillsgn(8, int2bits(b2i(by)))

Rule argument

name: byte2bits rotate: F subst: [by] → [i2b(0)]

Additional information

Used simplifier rules: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ b2i(i2b(0)) = 0;% ⊦ int2bits(0) = false ';% ⊦ 0 < n → fillsgn(n, boolvar ') = mklist(boolvar, n);%n ≠ 0 ⊦ mklist(false, (* n)) = false ' + mklist(false, n -1);% ⊦ mklist(boolvar, 0) = [];% ⊦ bits + [] = bits;% ⊦ bits + bits0 = bits + bits1 ↔ bits0 = bits1; Used terms: i2b(0)